56272614400 has 132 divisors (see below), whose sum is σ = 139679263948. Its totient is φ = 22478192640.

The previous prime is 56272614371. The next prime is 56272614401. The reversal of 56272614400 is 441627265.

It can be written as a sum of positive squares in 6 ways, for example, as 1183744 + 56271430656 = 1088^2 + 237216^2 .

It is a super-2 number, since 2×56272614400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56272614400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56272614401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31666312 + ... + 31668088.

Almost surely, 2^56272614400 is an apocalyptic number.

56272614400 is a gapful number since it is divisible by the number (50) 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 56272614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69839631974).

56272614400 is an abundant number, since it is smaller than the sum of its proper divisors (83406649548).

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

56272614400 is a wasteful number, since it uses less digits than its factorization.

56272614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 56272614400 in words is "fifty-six billion, two hundred seventy-two million, six hundred fourteen thousand, four hundred".