51617700000 has 432 divisors, whose sum is σ = 185952285792. Its totient is φ = 13579200000.

The previous prime is 51617699999. The next prime is 51617700031. The reversal of 51617700000 is 771615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74699655 + ... + 74700345.

It is an arithmetic number, because the mean of its divisors is an integer number (430445106).

Almost surely, 2^51617700000 is an apocalyptic number.

51617700000 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 51617700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92976142896).

51617700000 is an abundant number, since it is smaller than the sum of its proper divisors (134334585792).

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

51617700000 is an equidigital number, since it uses as much as digits as its factorization.

51617700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 51617700000 in words is "fifty-one billion, six hundred seventeen million, seven hundred thousand".