51599769600 has 432 divisors, whose sum is σ = 177481296720. Its totient is φ = 13212057600.

The previous prime is 51599769583. The next prime is 51599769659. The reversal of 51599769600 is 696799515.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285081510 + ... + 285081690.

It is an arithmetic number, because the mean of its divisors is an integer number (410836335).

Almost surely, 2^51599769600 is an apocalyptic number.

51599769600 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 51599769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88740648360).

51599769600 is an abundant number, since it is smaller than the sum of its proper divisors (125881527120).

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

51599769600 is an equidigital number, since it uses as much as digits as its factorization.

51599769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 57.

The spelling of 51599769600 in words is "fifty-one billion, five hundred ninety-nine million, seven hundred sixty-nine thousand, six hundred".