50536800 has 108 divisors (see below), whose sum is σ = 178230780. Its totient is φ = 13474560.

The previous prime is 50536799. The next prime is 50536813. The reversal of 50536800 is 863505.

50536800 is a `hidden beast` number, since 50 + 536 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3691 + ... + 10709.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 2^50536800 is an apocalyptic number.

50536800 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 50536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89115390).

50536800 is an abundant number, since it is smaller than the sum of its proper divisors (127693980).

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

50536800 is a wasteful number, since it uses less digits than its factorization.

50536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 50536800 is about 7108.9239692094. The cubic root of 50536800 is about 369.7168517915.

The spelling of 50536800 in words is "fifty million, five hundred thirty-six thousand, eight hundred".