56288874298920 has 256 divisors, whose sum is σ = 175802382201600. Its totient is φ = 14400626688000.

The previous prime is 56288874298913. The next prime is 56288874298927. The reversal of 56288874298920 is 2989247888265.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56288874298913) and next prime (56288874298927).

It is not an unprimeable number, because it can be changed into a prime (56288874298927) 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, 572859795 + ... + 572958045.

It is an arithmetic number, because the mean of its divisors is an integer number (686728055475).

Almost surely, 2^{56288874298920} 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 56288874298920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87901191100800).

56288874298920 is an abundant number, since it is smaller than the sum of its proper divisors (119513507902680).

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

56288874298920 is a wasteful number, since it uses less digits than its factorization.

56288874298920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99340 (or 99336 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 78.

The spelling of 56288874298920 in words is "fifty-six trillion, two hundred eighty-eight billion, eight hundred seventy-four million, two hundred ninety-eight thousand, nine hundred twenty".