50595400800 has 648 divisors, whose sum is σ = 211032555552. Its totient is φ = 11370240000.

The previous prime is 50595400763. The next prime is 50595400813. The reversal of 50595400800 is 800459505.

It is a happy number.

It is a super-2 number, since 2×50595400800² (a number of 22 digits) 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21519625 + ... + 21521975.

It is an arithmetic number, because the mean of its divisors is an integer number (325667524).

Almost surely, 2^50595400800 is an apocalyptic number.

50595400800 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 50595400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105516277776).

50595400800 is an abundant number, since it is smaller than the sum of its proper divisors (160437154752).

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

50595400800 is a wasteful number, since it uses less digits than its factorization.

50595400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 50595400800 in words is "fifty billion, five hundred ninety-five million, four hundred thousand, eight hundred".