50579505998400 has 336 divisors, whose sum is σ = 166622816360000. Its totient is φ = 13432681267200.

The previous prime is 50579505998381. The next prime is 50579505998423. The reversal of 50579505998400 is 489950597505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840512660 + ... + 1840540140.

Almost surely, 2^{50579505998400} is an apocalyptic number.

50579505998400 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 50579505998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83311408180000).

50579505998400 is an abundant number, since it is smaller than the sum of its proper divisors (116043310361600).

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

50579505998400 is a wasteful number, since it uses less digits than its factorization.

50579505998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29062 (or 29047 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 66.

The spelling of 50579505998400 in words is "fifty trillion, five hundred seventy-nine billion, five hundred five million, nine hundred ninety-eight thousand, four hundred".