51231916270080 has 960 divisors, whose sum is σ = 218501812488960. Its totient is φ = 10803146784768.

The previous prime is 51231916270069. The next prime is 51231916270103. The reversal of 51231916270080 is 8007261913215.

51231916270080 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 19 + 1 + 627 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4254076539 + ... + 4254088581.

It is an arithmetic number, because the mean of its divisors is an integer number (227606054676).

Almost surely, 2^{51231916270080} 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 51231916270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109250906244480).

51231916270080 is an abundant number, since it is smaller than the sum of its proper divisors (167269896218880).

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

51231916270080 is a wasteful number, since it uses less digits than its factorization.

51231916270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121 (or 14102 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 51231916270080 in words is "fifty-one trillion, two hundred thirty-one billion, nine hundred sixteen million, two hundred seventy thousand, eighty".