875869056000 has 528 divisors, whose sum is σ = 3163502055168. Its totient is φ = 233029632000.

The previous prime is 875869055981. The next prime is 875869056071. The reversal of 875869056000 is 650968578.

875869056000 is a `hidden beast` number, since 8 + 7 + 586 + 9 + 0 + 56 + 0 + 0 + 0 = 666.

875869056000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×875869056000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994175560 + ... + 994176440.

Almost surely, 2^875869056000 is an apocalyptic number.

875869056000 is a gapful number since it is divisible by the number (80) 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 875869056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581751027584).

875869056000 is an abundant number, since it is smaller than the sum of its proper divisors (2287632999168).

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

875869056000 is a wasteful number, since it uses less digits than its factorization.

875869056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 875869056000 in words is "eight hundred seventy-five billion, eight hundred sixty-nine million, fifty-six thousand".