50152317760800 has 720 divisors, whose sum is σ = 184560528620160. Its totient is φ = 13252685322240.

The previous prime is 50152317760789. The next prime is 50152317760801. The reversal of 50152317760800 is 806771325105.

It is a happy number.

50152317760800 is a `hidden beast` number, since 5 + 0 + 1 + 5 + 2 + 31 + 7 + 7 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (50152317760801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3855787897 + ... + 3855800903.

It is an arithmetic number, because the mean of its divisors is an integer number (256334067528).

Almost surely, 2^{50152317760800} is an apocalyptic number.

50152317760800 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 50152317760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92280264310080).

50152317760800 is an abundant number, since it is smaller than the sum of its proper divisors (134408210859360).

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

50152317760800 is a wasteful number, since it uses less digits than its factorization.

50152317760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13575 (or 13553 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 50152317760800 in words is "fifty trillion, one hundred fifty-two billion, three hundred seventeen million, seven hundred sixty thousand, eight hundred".