50753099916288 has 2640 divisors, whose sum is σ = 208514139793344. Its totient is φ = 12110832599040.

The previous prime is 50753099916287. The next prime is 50753099916293. The reversal of 50753099916288 is 88261999035705.

50753099916288 is a `hidden beast` number, since 5 + 0 + 7 + 530 + 9 + 9 + 9 + 1 + 6 + 2 + 88 = 666.

It is a super-2 number, since 2×50753099916288² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (50753099916287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32680681720 + ... + 32680683272.

Almost surely, 2^{50753099916288} 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 50753099916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104257069896672).

50753099916288 is an abundant number, since it is smaller than the sum of its proper divisors (157761039877056).

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

50753099916288 is a wasteful number, since it uses less digits than its factorization.

50753099916288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 50753099916288 in words is "fifty trillion, seven hundred fifty-three billion, ninety-nine million, nine hundred sixteen thousand, two hundred eighty-eight".