50288561314992 has 1440 divisors, whose sum is σ = 192539858374656. Its totient is φ = 11996365455360.

The previous prime is 50288561314907. The next prime is 50288561314997. The reversal of 50288561314992 is 29941316588205.

50288561314992 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 8 + 5 + 6 + 131 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (50288561314997) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58271797153 + ... + 58271798015.

Almost surely, 2^{50288561314992} is an apocalyptic number.

50288561314992 is a gapful number since it is divisible by the number (52) 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 50288561314992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96269929187328).

50288561314992 is an abundant number, since it is smaller than the sum of its proper divisors (142251297059664).

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

50288561314992 is a wasteful number, since it uses less digits than its factorization.

50288561314992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 50288561314992 in words is "fifty trillion, two hundred eighty-eight billion, five hundred sixty-one million, three hundred fourteen thousand, nine hundred ninety-two".