75868224856200 has 576 divisors, whose sum is σ = 291863982009600. Its totient is φ = 17301189427200.

The previous prime is 75868224856189. The next prime is 75868224856289. The reversal of 75868224856200 is 265842286857.

It is a happy number.

75868224856200 is a `hidden beast` number, since 7 + 5 + 8 + 6 + 8 + 22 + 48 + 562 + 0 + 0 = 666.

75868224856200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11171874805 + ... + 11171881595.

It is an arithmetic number, because the mean of its divisors is an integer number (506708302100).

Almost surely, 2^{75868224856200} is an apocalyptic number.

75868224856200 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 75868224856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145931991004800).

75868224856200 is an abundant number, since it is smaller than the sum of its proper divisors (215995757153400).

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

75868224856200 is a wasteful number, since it uses less digits than its factorization.

75868224856200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 75868224856200 in words is "seventy-five trillion, eight hundred sixty-eight billion, two hundred twenty-four million, eight hundred fifty-six thousand, two hundred".