20154960000 has 1280 divisors, whose sum is σ = 89731276800. Its totient is φ = 4354560000.

The previous prime is 20154959999. The next prime is 20154960017. The reversal of 20154960000 is 6945102.

20154960000 is a `hidden beast` number, since 2 + 0 + 1 + 54 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 468719979 + ... + 468720021.

It is an arithmetic number, because the mean of its divisors is an integer number (70102560).

Almost surely, 2^20154960000 is an apocalyptic number.

20154960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20154960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44865638400).

20154960000 is an abundant number, since it is smaller than the sum of its proper divisors (69576316800).

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

20154960000 is an equidigital number, since it uses as much as digits as its factorization.

20154960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20154960000 in words is "twenty billion, one hundred fifty-four million, nine hundred sixty thousand".