51401504000 has 576 divisors, whose sum is σ = 166768422912. Its totient is φ = 15307776000.

The previous prime is 51401503997. The next prime is 51401504171. The reversal of 51401504000 is 40510415.

51401504000 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 2×51401504000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 56671547 + ... + 56672453.

It is an arithmetic number, because the mean of its divisors is an integer number (289528512).

Almost surely, 2^51401504000 is an apocalyptic number.

51401504000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51401504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83384211456).

51401504000 is an abundant number, since it is smaller than the sum of its proper divisors (115366918912).

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

51401504000 is a wasteful number, since it uses less digits than its factorization.

51401504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 51401504000 in words is "fifty-one billion, four hundred one million, five hundred four thousand".