50089600 has 96 divisors (see below), whose sum is σ = 135080640. Its totient is φ = 18201600.

The previous prime is 50089579. The next prime is 50089619. The reversal of 50089600 is 698005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34489 + ... + 35911.

It is an arithmetic number, because the mean of its divisors is an integer number (1407090).

Almost surely, 2^50089600 is an apocalyptic number.

50089600 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 50089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67540320).

50089600 is an abundant number, since it is smaller than the sum of its proper divisors (84991040).

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

50089600 is a wasteful number, since it uses less digits than its factorization.

50089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 50089600 is about 7077.4006527821. The cubic root of 50089600 is about 368.6230780274.

It can be divided in two parts, 500 and 89600, that added together give a triangular number (90100 = T₄₂₄).

The spelling of 50089600 in words is "fifty million, eighty-nine thousand, six hundred".