51442610688 has 240 divisors, whose sum is σ = 172883595456. Its totient is φ = 14420090880.

The previous prime is 51442610671. The next prime is 51442610701. The reversal of 51442610688 is 88601624415.

It is a happy number.

51442610688 is a `hidden beast` number, since 514 + 4 + 26 + 106 + 8 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1694523 + ... + 1724613.

Almost surely, 2^51442610688 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 51442610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86441797728).

51442610688 is an abundant number, since it is smaller than the sum of its proper divisors (121440984768).

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

51442610688 is a wasteful number, since it uses less digits than its factorization.

51442610688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30175 (or 30156 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 51442610688 in words is "fifty-one billion, four hundred forty-two million, six hundred ten thousand, six hundred eighty-eight".