50944000800 has 864 divisors, whose sum is σ = 219435955200. Its totient is φ = 10021017600.

The previous prime is 50944000787. The next prime is 50944000813. The reversal of 50944000800 is 800044905.

It is an interprime number because it is at equal distance from previous prime (50944000787) and next prime (50944000813).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38622541 + ... + 38623859.

It is an arithmetic number, because the mean of its divisors is an integer number (253976800).

Almost surely, 2^50944000800 is an apocalyptic number.

50944000800 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 50944000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109717977600).

50944000800 is an abundant number, since it is smaller than the sum of its proper divisors (168491954400).

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

50944000800 is a wasteful number, since it uses less digits than its factorization.

50944000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 50944000800 in words is "fifty billion, nine hundred forty-four million, eight hundred", and thus it is an aban number.