875888064576 has 1176 divisors, whose sum is σ = 3317818323456. Its totient is φ = 227621560320.

The previous prime is 875888064563. The next prime is 875888064577. The reversal of 875888064576 is 675460888578.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×875888064576² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875888064577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1204797525 + ... + 1204798251.

Almost surely, 2^875888064576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875888064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658909161728).

875888064576 is an abundant number, since it is smaller than the sum of its proper divisors (2441930258880).

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

875888064576 is a wasteful number, since it uses less digits than its factorization.

875888064576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 875888064576 in words is "eight hundred seventy-five billion, eight hundred eighty-eight million, sixty-four thousand, five hundred seventy-six".