51540457518816 has 48 divisors (see below), whose sum is σ = 154621372558464. Its totient is φ = 14725845005184.

The previous prime is 51540457518773. The next prime is 51540457518829. The reversal of 51540457518816 is 61881575404515.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×51540457518816² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51540457518816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38348554030 + ... + 38348555373.

It is an arithmetic number, because the mean of its divisors is an integer number (3221278594968).

Almost surely, 2^{51540457518816} is an apocalyptic number.

51540457518816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51540457518816 is an abundant number, since it is smaller than the sum of its proper divisors (103080915039648).

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

51540457518816 is a wasteful number, since it uses less digits than its factorization.

51540457518816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76697109423 (or 76697109415 counting only the distinct ones).

The product of its (nonzero) digits is 26880000, while the sum is 60.

The spelling of 51540457518816 in words is "fifty-one trillion, five hundred forty billion, four hundred fifty-seven million, five hundred eighteen thousand, eight hundred sixteen".