51375624960 has 576 divisors, whose sum is σ = 184532189184. Its totient is φ = 12076646400.

The previous prime is 51375624893. The next prime is 51375624961. The reversal of 51375624960 is 6942657315.

51375624960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (51375624961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327233202 + ... + 327233358.

It is an arithmetic number, because the mean of its divisors is an integer number (320368384).

Almost surely, 2^51375624960 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 51375624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92266094592).

51375624960 is an abundant number, since it is smaller than the sum of its proper divisors (133156564224).

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

51375624960 is a wasteful number, since it uses less digits than its factorization.

51375624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 51375624960 in words is "fifty-one billion, three hundred seventy-five million, six hundred twenty-four thousand, nine hundred sixty".