56277200291256 has 256 divisors, whose sum is σ = 188235476582400. Its totient is φ = 15230782055808.

The previous prime is 56277200291251. The next prime is 56277200291281. The reversal of 56277200291256 is 65219200277265.

56277200291256 is a `hidden beast` number, since 5 + 62 + 77 + 200 + 291 + 25 + 6 = 666.

It is a super-2 number, since 2×56277200291256² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56277200291251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4273786 + ... + 11437641.

It is an arithmetic number, because the mean of its divisors is an integer number (735294830400).

Almost surely, 2^{56277200291256} is an apocalyptic number.

56277200291256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56277200291256 is an abundant number, since it is smaller than the sum of its proper divisors (131958276291144).

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

56277200291256 is a wasteful number, since it uses less digits than its factorization.

56277200291256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711575 (or 15711565 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 56277200291256 in words is "fifty-six trillion, two hundred seventy-seven billion, two hundred million, two hundred ninety-one thousand, two hundred fifty-six".