51493916160 has 960 divisors, whose sum is σ = 199472232960. Its totient is φ = 12700385280.

The previous prime is 51493916107. The next prime is 51493916179. The reversal of 51493916160 is 6161939415.

51493916160 is a `hidden beast` number, since 5 + 149 + 391 + 61 + 60 = 666.

51493916160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

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, 844162530 + ... + 844162590.

It is an arithmetic number, because the mean of its divisors is an integer number (207783576).

Almost surely, 2^51493916160 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 51493916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99736116480).

51493916160 is an abundant number, since it is smaller than the sum of its proper divisors (147978316800).

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

51493916160 is an equidigital number, since it uses as much as digits as its factorization.

51493916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 51493916160 in words is "fifty-one billion, four hundred ninety-three million, nine hundred sixteen thousand, one hundred sixty".