875125278720 has 2304 divisors, whose sum is σ = 4053130099200. Its totient is φ = 175177728000.

The previous prime is 875125278701. The next prime is 875125278751. The reversal of 875125278720 is 27872521578.

It is a happy number.

875125278720 is a `hidden beast` number, since 8 + 7 + 5 + 12 + 527 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8664606670 + ... + 8664606770.

It is an arithmetic number, because the mean of its divisors is an integer number (1759171050).

Almost surely, 2^875125278720 is an apocalyptic number.

875125278720 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 875125278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026565049600).

875125278720 is an abundant number, since it is smaller than the sum of its proper divisors (3178004820480).

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

875125278720 is a wasteful number, since it uses less digits than its factorization.

875125278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 875125278720 in words is "eight hundred seventy-five billion, one hundred twenty-five million, two hundred seventy-eight thousand, seven hundred twenty".