50462025952800 has 1728 divisors, whose sum is σ = 218197538463744. Its totient is φ = 9899366400000.

The previous prime is 50462025952771. The next prime is 50462025952837. The reversal of 50462025952800 is 825952026405.

It is a super-2 number, since 2×50462025952800² (a number of 28 digits) contains 22 as substring.

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 50462025952800.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2583679035 + ... + 2583698565.

It is an arithmetic number, because the mean of its divisors is an integer number (126271723648).

Almost surely, 2^{50462025952800} is an apocalyptic number.

50462025952800 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 50462025952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109098769231872).

50462025952800 is an abundant number, since it is smaller than the sum of its proper divisors (167735512510944).

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

50462025952800 is a wasteful number, since it uses less digits than its factorization.

50462025952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19655 (or 19631 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 50462025952800 in words is "fifty trillion, four hundred sixty-two billion, twenty-five million, nine hundred fifty-two thousand, eight hundred".