56776227107040 has 576 divisors, whose sum is σ = 234869253405696. Its totient is φ = 12192330203136.

The previous prime is 56776227107029. The next prime is 56776227107051. The reversal of 56776227107040 is 4070172267765.

56776227107040 is a `hidden beast` number, since 5 + 6 + 7 + 7 + 622 + 7 + 1 + 0 + 7 + 0 + 4 + 0 = 666.

56776227107040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56776227107029) and next prime (56776227107051).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96181429 + ... + 96769931.

It is an arithmetic number, because the mean of its divisors is an integer number (407759120496).

Almost surely, 2^{56776227107040} 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 56776227107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117434626702848).

56776227107040 is an abundant number, since it is smaller than the sum of its proper divisors (178093026298656).

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

56776227107040 is a wasteful number, since it uses less digits than its factorization.

56776227107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589111 (or 589100 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 56776227107040 in words is "fifty-six trillion, seven hundred seventy-six billion, two hundred twenty-seven million, one hundred seven thousand, forty".