51166725120 has 1584 divisors, whose sum is σ = 230654780928. Its totient is φ = 10404495360.

The previous prime is 51166725119. The next prime is 51166725133. The reversal of 51166725120 is 2152766115.

51166725120 is a `hidden beast` number, since 5 + 11 + 66 + 72 + 512 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1189923819 + ... + 1189923861.

It is an arithmetic number, because the mean of its divisors is an integer number (145615392).

Almost surely, 2^51166725120 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 51166725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115327390464).

51166725120 is an abundant number, since it is smaller than the sum of its proper divisors (179488055808).

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

51166725120 is a wasteful number, since it uses less digits than its factorization.

51166725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 51166725120 in words is "fifty-one billion, one hundred sixty-six million, seven hundred twenty-five thousand, one hundred twenty".