51978600960 has 1280 divisors, whose sum is σ = 213826314240. Its totient is φ = 10581442560.

The previous prime is 51978600959. The next prime is 51978601019. The reversal of 51978600960 is 6900687915.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 980728294 + ... + 980728346.

It is an arithmetic number, because the mean of its divisors is an integer number (167051808).

Almost surely, 2^51978600960 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 51978600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106913157120).

51978600960 is an abundant number, since it is smaller than the sum of its proper divisors (161847713280).

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

51978600960 is a wasteful number, since it uses less digits than its factorization.

51978600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 51978600960 in words is "fifty-one billion, nine hundred seventy-eight million, six hundred thousand, nine hundred sixty".