51598800 has 180 divisors, whose sum is σ = 195490464. Its totient is φ = 12499200.

The previous prime is 51598793. The next prime is 51598819. The reversal of 51598800 is 889515.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×51598800² = 5324872322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38949 + ... + 40251.

Almost surely, 2^51598800 is an apocalyptic number.

51598800 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 51598800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97745232).

51598800 is an abundant number, since it is smaller than the sum of its proper divisors (143891664).

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

51598800 is a wasteful number, since it uses less digits than its factorization.

51598800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 51598800 is about 7183.2304710346. The cubic root of 51598800 is about 372.2887110090.

The spelling of 51598800 in words is "fifty-one million, five hundred ninety-eight thousand, eight hundred".