56714110820640 has 3456 divisors, whose sum is σ = 260261674283520. Its totient is φ = 10970839646208.

The previous prime is 56714110820597. The next prime is 56714110820671. The reversal of 56714110820640 is 4602801141765.

56714110820640 is a `hidden beast` number, since 56 + 71 + 411 + 0 + 82 + 0 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 293855496384 + ... + 293855496576.

It is an arithmetic number, because the mean of its divisors is an integer number (75307197420).

Almost surely, 2^{56714110820640} 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 56714110820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130130837141760).

56714110820640 is an abundant number, since it is smaller than the sum of its proper divisors (203547563462880).

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

56714110820640 is a wasteful number, since it uses less digits than its factorization.

56714110820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 56714110820640 in words is "fifty-six trillion, seven hundred fourteen billion, one hundred ten million, eight hundred twenty thousand, six hundred forty".