51596800 has 120 divisors (see below), whose sum is σ = 133194600. Its totient is φ = 19783680.

The previous prime is 51596749. The next prime is 51596801. The reversal of 51596800 is 869515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51596801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371131 + ... + 371269.

It is an arithmetic number, because the mean of its divisors is an integer number (1109955).

Almost surely, 2^51596800 is an apocalyptic number.

51596800 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 51596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66597300).

51596800 is an abundant number, since it is smaller than the sum of its proper divisors (81597800).

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

51596800 is a wasteful number, since it uses less digits than its factorization.

51596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 51596800 is about 7183.0912565552. The cubic root of 51596800 is about 372.2839009033.

The spelling of 51596800 in words is "fifty-one million, five hundred ninety-six thousand, eight hundred".