51838560 has 72 divisors (see below), whose sum is σ = 176904000. Its totient is φ = 13823232.

The previous prime is 51838513. The next prime is 51838583. The reversal of 51838560 is 6583815.

51838560 is a `hidden beast` number, since 518 + 3 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16560 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^51838560 is an apocalyptic number.

It is an amenable number.

51838560 is an abundant number, since it is smaller than the sum of its proper divisors (125065440).

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

51838560 is a wasteful number, since it uses less digits than its factorization.

51838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36020 (or 36009 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51838560 is about 7199.8999993055. The cubic root of 51838560 is about 372.8644482019.

The spelling of 51838560 in words is "fifty-one million, eight hundred thirty-eight thousand, five hundred sixty".