51510414400 has 84 divisors (see below), whose sum is σ = 128054877748. Its totient is φ = 20391690240.

The previous prime is 51510414377. The next prime is 51510414421. The reversal of 51510414400 is 441401515.

It can be written as a sum of positive squares in 6 ways, for example, as 2158903296 + 49351511104 = 46464^2 + 222152^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10749 + ... + 321148.

Almost surely, 2^51510414400 is an apocalyptic number.

51510414400 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 51510414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64027438874).

51510414400 is an abundant number, since it is smaller than the sum of its proper divisors (76544463348).

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

51510414400 is a wasteful number, since it uses less digits than its factorization.

51510414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332016 (or 332001 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 51510414400 its reverse (441401515), we get a palindrome (51951815915).

The spelling of 51510414400 in words is "fifty-one billion, five hundred ten million, four hundred fourteen thousand, four hundred".