56286502272 has 1152 divisors, whose sum is σ = 233639078400. Its totient is φ = 12750151680.

The previous prime is 56286502271. The next prime is 56286502277. The reversal of 56286502272 is 27220568265.

56286502272 is a `hidden beast` number, since 5 + 62 + 86 + 502 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×56286502272² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56286502271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153369033 + ... + 153369399.

It is an arithmetic number, because the mean of its divisors is an integer number (202811700).

Almost surely, 2^56286502272 is an apocalyptic number.

56286502272 is a gapful number since it is divisible by the number (52) 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 56286502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116819539200).

56286502272 is an abundant number, since it is smaller than the sum of its proper divisors (177352576128).

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

56286502272 is a wasteful number, since it uses less digits than its factorization.

56286502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 56286502272 in words is "fifty-six billion, two hundred eighty-six million, five hundred two thousand, two hundred seventy-two".