56989212774400 has 351 divisors, whose sum is σ = 146213759944299. Its totient is φ = 22031351808000.

The previous prime is 56989212774359. The next prime is 56989212774409. The reversal of 56989212774400 is 447721298965.

The square root of 56989212774400 is 7549120.

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 33631091789824 + 23358120984576 = 5799232^2 + 4833024^2 .

It is a super-2 number, since 2×56989212774400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (56989212774409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74887270020 + ... + 74887270780.

Almost surely, 2^{56989212774400} is an apocalyptic number.

56989212774400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56989212774400 is the 7549120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56989212774400

56989212774400 is an abundant number, since it is smaller than the sum of its proper divisors (89224547169899).

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

56989212774400 is an frugal number, since it uses more digits than its factorization.

56989212774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

56989212774400 divided by its sum of digits (64) gives a square (890456449600 = 943640²).

The spelling of 56989212774400 in words is "fifty-six trillion, nine hundred eighty-nine billion, two hundred twelve million, seven hundred seventy-four thousand, four hundred".