20010144492900 has 405 divisors, whose sum is σ = 67839210482043. Its totient is φ = 5101674969600.

The previous prime is 20010144492859. The next prime is 20010144492901. The reversal of 20010144492900 is 929444101002.

The square root of 20010144492900 is 4473270.

It is a perfect power (a square), and thus also a powerful number.

20010144492900 is a `hidden beast` number, since 20 + 0 + 1 + 0 + 144 + 492 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3703696164 + 20006440796736 = 60858^2 + 4472856^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20010144492901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9259667820 + ... + 9259669980.

Almost surely, 2^{20010144492900} is an apocalyptic number.

20010144492900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20010144492900 is the 4473270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010144492900

20010144492900 is an abundant number, since it is smaller than the sum of its proper divisors (47829065989143).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20010144492900 is an equidigital number, since it uses as much as digits as its factorization.

20010144492900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 20010144492900 by its sum of digits (36), we get a square (720365201744400 = 26839620²).

20010144492900 divided by its sum of digits (36) gives a square (555837347025 = 745545²).

Adding to 20010144492900 its reverse (929444101002), we get a palindrome (20939588593902).

The spelling of 20010144492900 in words is "twenty trillion, ten billion, one hundred forty-four million, four hundred ninety-two thousand, nine hundred".