50133065270400 has 1536 divisors, whose sum is σ = 214951727923200. Its totient is φ = 11172935024640.

The previous prime is 50133065270339. The next prime is 50133065270413. The reversal of 50133065270400 is 407256033105.

50133065270400 is a `hidden beast` number, since 5 + 0 + 133 + 0 + 6 + 52 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7873888017 + ... + 7873894383.

It is an arithmetic number, because the mean of its divisors is an integer number (139942531200).

Almost surely, 2^{50133065270400} is an apocalyptic number.

50133065270400 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 50133065270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107475863961600).

50133065270400 is an abundant number, since it is smaller than the sum of its proper divisors (164818662652800).

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

50133065270400 is a wasteful number, since it uses less digits than its factorization.

50133065270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 50133065270400 in words is "fifty trillion, one hundred thirty-three billion, sixty-five million, two hundred seventy thousand, four hundred".