51656610610080 has 288 divisors, whose sum is σ = 203416715384064. Its totient is φ = 11692591792128.

The previous prime is 51656610610051. The next prime is 51656610610091. The reversal of 51656610610080 is 8001601665615.

51656610610080 is a `hidden beast` number, since 5 + 1 + 6 + 566 + 1 + 0 + 6 + 1 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 23838769 + ... + 25915248.

It is an arithmetic number, because the mean of its divisors is an integer number (706308039528).

Almost surely, 2^{51656610610080} is an apocalyptic number.

It is an amenable number.

51656610610080 is an abundant number, since it is smaller than the sum of its proper divisors (151760104773984).

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

51656610610080 is a wasteful number, since it uses less digits than its factorization.

51656610610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49754148 (or 49754137 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 51656610610080 in words is "fifty-one trillion, six hundred fifty-six billion, six hundred ten million, six hundred ten thousand, eighty".