50909546400 has 432 divisors, whose sum is σ = 182173652640. Its totient is φ = 12331827200.

The previous prime is 50909546393. The next prime is 50909546437. The reversal of 50909546400 is 464590905.

It is a happy 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 71 ways as a sum of consecutive naturals, for example, 20113135 + ... + 20115665.

It is an arithmetic number, because the mean of its divisors is an integer number (421698270).

Almost surely, 2^50909546400 is an apocalyptic number.

50909546400 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 50909546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91086826320).

50909546400 is an abundant number, since it is smaller than the sum of its proper divisors (131264106240).

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

50909546400 is a wasteful number, since it uses less digits than its factorization.

50909546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 50909546400 in words is "fifty billion, nine hundred nine million, five hundred forty-six thousand, four hundred".