51375655290960 has 1440 divisors, whose sum is σ = 242167938509952. Its totient is φ = 9587905044480.

The previous prime is 51375655290941. The next prime is 51375655290983. The reversal of 51375655290960 is 6909255657315.

It is a happy number.

51375655290960 is a `hidden beast` number, since 5 + 1 + 3 + 7 + 565 + 5 + 2 + 9 + 0 + 9 + 60 = 666.

51375655290960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 186528867 + ... + 186804093.

Almost surely, 2^{51375655290960} 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 51375655290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121083969254976).

51375655290960 is an abundant number, since it is smaller than the sum of its proper divisors (190792283218992).

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

51375655290960 is a wasteful number, since it uses less digits than its factorization.

51375655290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275321 (or 275305 counting only the distinct ones).

The product of its (nonzero) digits is 76545000, while the sum is 63.

It can be divided in two parts, 51375655 and 290960, that added together give a palindrome (51666615).

The spelling of 51375655290960 in words is "fifty-one trillion, three hundred seventy-five billion, six hundred fifty-five million, two hundred ninety thousand, nine hundred sixty".