51176880 has 320 divisors, whose sum is σ = 196416000. Its totient is φ = 12192768.

The previous prime is 51176849. The next prime is 51176891. The reversal of 51176880 is 8867115.

51176880 is a `hidden beast` number, since 511 + 7 + 68 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1190139 + ... + 1190181.

It is an arithmetic number, because the mean of its divisors is an integer number (613800).

Almost surely, 2^51176880 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 51176880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

51176880 is an abundant number, since it is smaller than the sum of its proper divisors (145239120).

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

51176880 is a wasteful number, since it uses less digits than its factorization.

51176880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

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

The square root of 51176880 is about 7153.8017864629. The cubic root of 51176880 is about 371.2712058084.

The spelling of 51176880 in words is "fifty-one million, one hundred seventy-six thousand, eight hundred eighty".