51465456138100 has 72 divisors (see below), whose sum is σ = 112817777200128. Its totient is φ = 20376650812800.

The previous prime is 51465456138007. The next prime is 51465456138121. The reversal of 51465456138100 is 183165456415.

It is a super-2 number, since 2×51465456138100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20559822 + ... + 22926778.

It is an arithmetic number, because the mean of its divisors is an integer number (1566913572224).

Almost surely, 2^{51465456138100} is an apocalyptic number.

51465456138100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51465456138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56408888600064).

51465456138100 is an abundant number, since it is smaller than the sum of its proper divisors (61352321062028).

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

51465456138100 is a wasteful number, since it uses less digits than its factorization.

51465456138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369185 (or 2369178 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 51465456138100 in words is "fifty-one trillion, four hundred sixty-five billion, four hundred fifty-six million, one hundred thirty-eight thousand, one hundred".