50034758400 has 648 divisors, whose sum is σ = 201752243280. Its totient is φ = 12124569600.

The previous prime is 50034758363. The next prime is 50034758407. The reversal of 50034758400 is 485743005.

50034758400 is a `hidden beast` number, since 500 + 3 + 4 + 75 + 84 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (50034758407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20907604 + ... + 20909996.

Almost surely, 2^50034758400 is an apocalyptic number.

50034758400 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 50034758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100876121640).

50034758400 is an abundant number, since it is smaller than the sum of its proper divisors (151717484880).

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

50034758400 is a wasteful number, since it uses less digits than its factorization.

50034758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 50034758400 in words is "fifty billion, thirty-four million, seven hundred fifty-eight thousand, four hundred".