56850220880640 has 1152 divisors, whose sum is σ = 229800712780800. Its totient is φ = 13182000168960.

The previous prime is 56850220880639. The next prime is 56850220880681. The reversal of 56850220880640 is 4608802205865.

It is a happy number.

56850220880640 is a `hidden beast` number, since 56 + 8 + 502 + 2 + 0 + 8 + 80 + 6 + 4 + 0 = 666.

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

It is a super-2 number, since 2×56850220880640² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1179612384 + ... + 1179660576.

It is an arithmetic number, because the mean of its divisors is an integer number (199479785400).

Almost surely, 2^{56850220880640} 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 56850220880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114900356390400).

56850220880640 is an abundant number, since it is smaller than the sum of its proper divisors (172950491900160).

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

56850220880640 is a wasteful number, since it uses less digits than its factorization.

56850220880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48370 (or 48350 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 56850220880640 in words is "fifty-six trillion, eight hundred fifty billion, two hundred twenty million, eight hundred eighty thousand, six hundred forty".