20112713478400 has 243 divisors, whose sum is σ = 50666719682943. Its totient is φ = 7904588083200.

The previous prime is 20112713478337. The next prime is 20112713478413. The reversal of 20112713478400 is 487431721102.

The square root of 20112713478400 is 4484720.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9264280137984 + 10848433340416 = 3043728^2 + 3293696^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21885433141 + ... + 21885434059.

Almost surely, 2^{20112713478400} is an apocalyptic number.

20112713478400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20112713478400 is the 4484720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112713478400

20112713478400 is an abundant number, since it is smaller than the sum of its proper divisors (30554006204543).

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

20112713478400 is an frugal number, since it uses more digits than its factorization.

20112713478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 20112713478400 in words is "twenty trillion, one hundred twelve billion, seven hundred thirteen million, four hundred seventy-eight thousand, four hundred".