56279773250640 has 800 divisors, whose sum is σ = 202877049323520. Its totient is φ = 14448056832000.

The previous prime is 56279773250599. The next prime is 56279773250651. The reversal of 56279773250640 is 4605237797265.

It is a happy number.

56279773250640 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 97 + 7 + 32 + 506 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30080048905 + ... + 30080050775.

Almost surely, 2^{56279773250640} 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 56279773250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101438524661760).

56279773250640 is an abundant number, since it is smaller than the sum of its proper divisors (146597276072880).

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

56279773250640 is a wasteful number, since it uses less digits than its factorization.

56279773250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 56279773250640 in words is "fifty-six trillion, two hundred seventy-nine billion, seven hundred seventy-three million, two hundred fifty thousand, six hundred forty".