50976424195200 has 576 divisors, whose sum is σ = 208480009907520. Its totient is φ = 11618159616000.

The previous prime is 50976424195199. The next prime is 50976424195231. The reversal of 50976424195200 is 259142467905.

It is a happy number.

50976424195200 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 6 + 424 + 1 + 9 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69590850 + ... + 70319550.

It is an arithmetic number, because the mean of its divisors is an integer number (361944461645).

Almost surely, 2^{50976424195200} is an apocalyptic number.

50976424195200 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 50976424195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104240004953760).

50976424195200 is an abundant number, since it is smaller than the sum of its proper divisors (157503585712320).

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

50976424195200 is a wasteful number, since it uses less digits than its factorization.

50976424195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729085 (or 729065 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 50976424195200 in words is "fifty trillion, nine hundred seventy-six billion, four hundred twenty-four million, one hundred ninety-five thousand, two hundred".