49936416768000 has 1728 divisors, whose sum is σ = 208227273246720. Its totient is φ = 11277434880000.

The previous prime is 49936416767969. The next prime is 49936416768011. The reversal of 49936416768000 is 86761463994.

49936416768000 is a `hidden beast` number, since 49 + 9 + 36 + 416 + 76 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 104251391761 + ... + 104251392239.

It is an arithmetic number, because the mean of its divisors is an integer number (120501894240).

Almost surely, 2^{49936416768000} is an apocalyptic number.

49936416768000 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 49936416768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104113636623360).

49936416768000 is an abundant number, since it is smaller than the sum of its proper divisors (158290856478720).

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

49936416768000 is an equidigital number, since it uses as much as digits as its factorization.

49936416768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 49936416768000 in words is "forty-nine trillion, nine hundred thirty-six billion, four hundred sixteen million, seven hundred sixty-eight thousand".