50161672058400 has 864 divisors, whose sum is σ = 211193420256000. Its totient is φ = 10960524288000.

The previous prime is 50161672058363. The next prime is 50161672058411. The reversal of 50161672058400 is 485027616105.

50161672058400 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 1 + 67 + 2 + 0 + 584 + 0 + 0 = 666.

50161672058400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147451701 + ... + 147791499.

It is an arithmetic number, because the mean of its divisors is an integer number (244436829000).

Almost surely, 2^{50161672058400} is an apocalyptic number.

50161672058400 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 50161672058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105596710128000).

50161672058400 is an abundant number, since it is smaller than the sum of its proper divisors (161031748197600).

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

50161672058400 is a wasteful number, since it uses less digits than its factorization.

50161672058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339962 (or 339946 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 50161672058400 in words is "fifty trillion, one hundred sixty-one billion, six hundred seventy-two million, fifty-eight thousand, four hundred".