50952612846240 has 480 divisors, whose sum is σ = 209702948716800. Its totient is φ = 11646310491648.

The previous prime is 50952612846227. The next prime is 50952612846257. The reversal of 50952612846240 is 4264821625905.

50952612846240 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 2 + 6 + 1 + 2 + 8 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1285812 + ... + 10176371.

It is an arithmetic number, because the mean of its divisors is an integer number (436881143160).

Almost surely, 2^{50952612846240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50952612846240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104851474358400).

50952612846240 is an abundant number, since it is smaller than the sum of its proper divisors (158750335870560).

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

50952612846240 is a wasteful number, since it uses less digits than its factorization.

50952612846240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11462231 (or 11462200 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 50952612846240 in words is "fifty trillion, nine hundred fifty-two billion, six hundred twelve million, eight hundred forty-six thousand, two hundred forty".