51839330400 has 864 divisors, whose sum is σ = 221644563840. Its totient is φ = 11591424000.

The previous prime is 51839330399. The next prime is 51839330407. The reversal of 51839330400 is 403393815.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51839330407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40153755 + ... + 40155045.

It is an arithmetic number, because the mean of its divisors is an integer number (256533060).

Almost surely, 2^51839330400 is an apocalyptic number.

51839330400 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 51839330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110822281920).

51839330400 is an abundant number, since it is smaller than the sum of its proper divisors (169805233440).

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

51839330400 is a wasteful number, since it uses less digits than its factorization.

51839330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51839330400 in words is "fifty-one billion, eight hundred thirty-nine million, three hundred thirty thousand, four hundred".