51878160 has 60 divisors (see below), whose sum is σ = 174226572. Its totient is φ = 13833984.

The previous prime is 51878153. The next prime is 51878171. The reversal of 51878160 is 6187815.

51878160 is a `hidden beast` number, since 518 + 7 + 81 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 40908816 = 3312^2 + 6396^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35307 + ... + 36746.

Almost surely, 2^51878160 is an apocalyptic number.

It is an amenable number.

51878160 is an abundant number, since it is smaller than the sum of its proper divisors (122348412).

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

51878160 is a wasteful number, since it uses less digits than its factorization.

51878160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72072 (or 72063 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 51878160 is about 7202.6495125058. The cubic root of 51878160 is about 372.9593690094.

The spelling of 51878160 in words is "fifty-one million, eight hundred seventy-eight thousand, one hundred sixty".