51024510400 has 84 divisors (see below), whose sum is σ = 125636914080. Its totient is φ = 20396032000.

The previous prime is 51024510353. The next prime is 51024510409. The reversal of 51024510400 is 401542015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51024510409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2551641 + ... + 2571559.

Almost surely, 2^51024510400 is an apocalyptic number.

51024510400 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 51024510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62818457040).

51024510400 is an abundant number, since it is smaller than the sum of its proper divisors (74612403680).

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

51024510400 is a wasteful number, since it uses less digits than its factorization.

51024510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21542 (or 21527 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 51024510400 in words is "fifty-one billion, twenty-four million, five hundred ten thousand, four hundred".