56314110627840 has 1664 divisors, whose sum is σ = 209676179865600. Its totient is φ = 12788611153920.

The previous prime is 56314110627839. The next prime is 56314110627871. The reversal of 56314110627840 is 4872601141365.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56314110627840.

It is a congruent number.

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, 117565992721 + ... + 117565993199.

Almost surely, 2^{56314110627840} 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 56314110627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104838089932800).

56314110627840 is an abundant number, since it is smaller than the sum of its proper divisors (153362069237760).

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

56314110627840 is a wasteful number, since it uses less digits than its factorization.

56314110627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 56314110627840 in words is "fifty-six trillion, three hundred fourteen billion, one hundred ten million, six hundred twenty-seven thousand, eight hundred forty".