50162385370800 has 240 divisors, whose sum is σ = 161529537974688. Its totient is φ = 13306593484800.

The previous prime is 50162385370777. The next prime is 50162385370807. The reversal of 50162385370800 is 807358326105.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 50162385370800.

It is not an unprimeable number, because it can be changed into a prime (50162385370807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296571054 + ... + 296740146.

Almost surely, 2^{50162385370800} is an apocalyptic number.

50162385370800 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 50162385370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80764768987344).

50162385370800 is an abundant number, since it is smaller than the sum of its proper divisors (111367152603888).

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

50162385370800 is a wasteful number, since it uses less digits than its factorization.

50162385370800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170408 (or 170397 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 50162385370800 in words is "fifty trillion, one hundred sixty-two billion, three hundred eighty-five million, three hundred seventy thousand, eight hundred".