75875586360 has 256 divisors, whose sum is σ = 274785730560. Its totient is φ = 16392983040.

The previous prime is 75875586359. The next prime is 75875586421. The reversal of 75875586360 is 6368557857.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 75875586294 and 75875586303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085839 + ... + 1153601.

It is an arithmetic number, because the mean of its divisors is an integer number (1073381760).

Almost surely, 2^75875586360 is an apocalyptic number.

75875586360 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 75875586360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137392865280).

75875586360 is an abundant number, since it is smaller than the sum of its proper divisors (198910144200).

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

75875586360 is a wasteful number, since it uses less digits than its factorization.

75875586360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67858 (or 67854 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 75875586360 in words is "seventy-five billion, eight hundred seventy-five million, five hundred eighty-six thousand, three hundred sixty".