51186960 has 240 divisors, whose sum is σ = 196380288. Its totient is φ = 11827200.

The previous prime is 51186959. The next prime is 51186973. The reversal of 51186960 is 6968115.

51186960 is a `hidden beast` number, since 511 + 86 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 182020 + ... + 182300.

Almost surely, 2^51186960 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 51186960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98190144).

51186960 is an abundant number, since it is smaller than the sum of its proper divisors (145193328).

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

51186960 is a wasteful number, since it uses less digits than its factorization.

51186960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51186960 is about 7154.5062722734. The cubic root of 51186960 is about 371.2955798882.

The spelling of 51186960 in words is "fifty-one million, one hundred eighty-six thousand, nine hundred sixty".