55716560640 has 1152 divisors, whose sum is σ = 229935283200. Its totient is φ = 12660572160.

The previous prime is 55716560609. The next prime is 55716560651. The reversal of 55716560640 is 4606561755.

55716560640 is a `hidden beast` number, since 557 + 1 + 6 + 56 + 0 + 6 + 40 = 666.

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

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

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, 520715467 + ... + 520715573.

It is an arithmetic number, because the mean of its divisors is an integer number (199596600).

Almost surely, 2^55716560640 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 55716560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114967641600).

55716560640 is an abundant number, since it is smaller than the sum of its proper divisors (174218722560).

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

55716560640 is a wasteful number, since it uses less digits than its factorization.

55716560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 55716560640 in words is "fifty-five billion, seven hundred sixteen million, five hundred sixty thousand, six hundred forty".