51192960 has 256 divisors, whose sum is σ = 201519360. Its totient is φ = 10764288.

The previous prime is 51192937. The next prime is 51192971. The reversal of 51192960 is 6929115.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174574 + ... + 174866.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 2^51192960 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 51192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

51192960 is an abundant number, since it is smaller than the sum of its proper divisors (150326400).

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

51192960 is a wasteful number, since it uses less digits than its factorization.

51192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 51192960 is about 7154.9255761329. The cubic root of 51192960 is about 371.3100867499.

The spelling of 51192960 in words is "fifty-one million, one hundred ninety-two thousand, nine hundred sixty".