51083709600 has 1152 divisors, whose sum is σ = 220689874944. Its totient is φ = 9953280000.

The previous prime is 51083709587. The next prime is 51083709601. The reversal of 51083709600 is 690738015.

It is not an unprimeable number, because it can be changed into a prime (51083709601) 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 191 ways as a sum of consecutive naturals, for example, 211965480 + ... + 211965720.

It is an arithmetic number, because the mean of its divisors is an integer number (191571072).

Almost surely, 2^51083709600 is an apocalyptic number.

51083709600 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 51083709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110344937472).

51083709600 is an abundant number, since it is smaller than the sum of its proper divisors (169606165344).

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

51083709600 is a wasteful number, since it uses less digits than its factorization.

51083709600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 51083709600 in words is "fifty-one billion, eighty-three million, seven hundred nine thousand, six hundred".