51431993724960 has 192 divisors, whose sum is σ = 181663465737600. Its totient is φ = 13589370694656.

The previous prime is 51431993724959. The next prime is 51431993724989. The reversal of 51431993724960 is 6942739913415.

It is a happy number.

51431993724960 is a `hidden beast` number, since 5 + 1 + 43 + 19 + 93 + 7 + 2 + 496 + 0 = 666.

It is a super-2 number, since 2×51431993724960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54141754 + ... + 55083513.

It is an arithmetic number, because the mean of its divisors is an integer number (946163884050).

Almost surely, 2^{51431993724960} is an apocalyptic number.

It is an amenable number.

51431993724960 is an abundant number, since it is smaller than the sum of its proper divisors (130231472012640).

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

51431993724960 is a wasteful number, since it uses less digits than its factorization.

51431993724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109225400 (or 109225386 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 51431993724960 in words is "fifty-one trillion, four hundred thirty-one billion, nine hundred ninety-three million, seven hundred twenty-four thousand, nine hundred sixty".