50104064400 has 480 divisors, whose sum is σ = 178700979072. Its totient is φ = 11921817600.

The previous prime is 50104064383. The next prime is 50104064407. The reversal of 50104064400 is 446040105.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (50104064407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75800070 + ... + 75800730.

Almost surely, 2^50104064400 is an apocalyptic number.

50104064400 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 50104064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89350489536).

50104064400 is an abundant number, since it is smaller than the sum of its proper divisors (128596914672).

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

50104064400 is a wasteful number, since it uses less digits than its factorization.

50104064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 50104064400 in words is "fifty billion, one hundred four million, sixty-four thousand, four hundred".