51095998838016 has 1152 divisors, whose sum is σ = 171559800921600. Its totient is φ = 14864838819840.

The previous prime is 51095998837999. The next prime is 51095998838029. The reversal of 51095998838016 is 61083889959015.

51095998838016 is a `hidden beast` number, since 5 + 10 + 9 + 599 + 8 + 8 + 3 + 8 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×51095998838016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89799646180 + ... + 89799646748.

It is an arithmetic number, because the mean of its divisors is an integer number (148923438300).

Almost surely, 2^{51095998838016} 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 51095998838016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85779900460800).

51095998838016 is an abundant number, since it is smaller than the sum of its proper divisors (120463802083584).

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

51095998838016 is a wasteful number, since it uses less digits than its factorization.

51095998838016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 51095998838016 in words is "fifty-one trillion, ninety-five billion, nine hundred ninety-eight million, eight hundred thirty-eight thousand, sixteen".