49921759053600 has 576 divisors, whose sum is σ = 194207965894656. Its totient is φ = 10890649313280.

The previous prime is 49921759053571. The next prime is 49921759053611. The reversal of 49921759053600 is 635095712994.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176443447 + ... + 176726153.

It is an arithmetic number, because the mean of its divisors is an integer number (337166607456).

Almost surely, 2^{49921759053600} is an apocalyptic number.

49921759053600 is a gapful number since it is divisible by the number (40) 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 49921759053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97103982947328).

49921759053600 is an abundant number, since it is smaller than the sum of its proper divisors (144286206841056).

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

49921759053600 is a wasteful number, since it uses less digits than its factorization.

49921759053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283217 (or 283204 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 60.

The spelling of 49921759053600 in words is "forty-nine trillion, nine hundred twenty-one billion, seven hundred fifty-nine million, fifty-three thousand, six hundred".