51907096540464 has 320 divisors, whose sum is σ = 155312916480000. Its totient is φ = 14782719283200.

The previous prime is 51907096540451. The next prime is 51907096540501. The reversal of 51907096540464 is 46404569070915.

It is a super-2 number, since 2×51907096540464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51907096540398 and 51907096540407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1432257384 + ... + 1432293624.

It is an arithmetic number, because the mean of its divisors is an integer number (485352864000).

Almost surely, 2^{51907096540464} 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 51907096540464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77656458240000).

51907096540464 is an abundant number, since it is smaller than the sum of its proper divisors (103405819939536).

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

51907096540464 is a wasteful number, since it uses less digits than its factorization.

51907096540464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38344 (or 38338 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 51907096540464 in words is "fifty-one trillion, nine hundred seven billion, ninety-six million, five hundred forty thousand, four hundred sixty-four".