56511056060640 has 768 divisors, whose sum is σ = 202252545008640. Its totient is φ = 14733322813440.

The previous prime is 56511056060609. The next prime is 56511056060647. The reversal of 56511056060640 is 4606065011565.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56511056060647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26444105652 + ... + 26444107788.

It is an arithmetic number, because the mean of its divisors is an integer number (263349667980).

Almost surely, 2^{56511056060640} 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 56511056060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101126272504320).

56511056060640 is an abundant number, since it is smaller than the sum of its proper divisors (145741488948000).

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

56511056060640 is a wasteful number, since it uses less digits than its factorization.

56511056060640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 56511056060640 in words is "fifty-six trillion, five hundred eleven billion, fifty-six million, sixty thousand, six hundred forty".