75869122560 has 1248 divisors, whose sum is σ = 322712294400. Its totient is φ = 15028715520.

The previous prime is 75869122543. The next prime is 75869122601. The reversal of 75869122560 is 6522196857.

It is a super-2 number, since 2×75869122560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 960368601 + ... + 960368679.

Almost surely, 2^75869122560 is an apocalyptic number.

75869122560 is a gapful number since it is divisible by the number (70) 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 75869122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161356147200).

75869122560 is an abundant number, since it is smaller than the sum of its proper divisors (246843171840).

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

75869122560 is a wasteful number, since it uses less digits than its factorization.

75869122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 75869122560 in words is "seventy-five billion, eight hundred sixty-nine million, one hundred twenty-two thousand, five hundred sixty".