51113280960 has 784 divisors, whose sum is σ = 211161514176. Its totient is φ = 11537842176.

The previous prime is 51113280929. The next prime is 51113281001. The reversal of 51113280960 is 6908231115.

51113280960 is a `hidden beast` number, since 511 + 1 + 3 + 2 + 80 + 9 + 60 = 666.

51113280960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51113280960² (a number of 22 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 184524342 + ... + 184524618.

Almost surely, 2^51113280960 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 51113280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105580757088).

51113280960 is an abundant number, since it is smaller than the sum of its proper divisors (160048233216).

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

51113280960 is a wasteful number, since it uses less digits than its factorization.

51113280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

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

The spelling of 51113280960 in words is "fifty-one billion, one hundred thirteen million, two hundred eighty thousand, nine hundred sixty".