56263802880 has 256 divisors, whose sum is σ = 181814012640. Its totient is φ = 14856224768.

The previous prime is 56263802867. The next prime is 56263802887. The reversal of 56263802880 is 8820836265.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56263802887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55541254 + ... + 55542266.

Almost surely, 2^56263802880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56263802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90907006320).

56263802880 is an abundant number, since it is smaller than the sum of its proper divisors (125550209760).

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

56263802880 is a wasteful number, since it uses less digits than its factorization.

56263802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 56263802880 in words is "fifty-six billion, two hundred sixty-three million, eight hundred two thousand, eight hundred eighty".