875445084000 has 960 divisors, whose sum is σ = 3395635955712. Its totient is φ = 220558464000.

The previous prime is 875445083983. The next prime is 875445084071. The reversal of 875445084000 is 480544578.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 431890987 + ... + 431893013.

Almost surely, 2^875445084000 is an apocalyptic number.

875445084000 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 875445084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697817977856).

875445084000 is an abundant number, since it is smaller than the sum of its proper divisors (2520190871712).

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

875445084000 is a wasteful number, since it uses less digits than its factorization.

875445084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 875445084000 in words is "eight hundred seventy-five billion, four hundred forty-five million, eighty-four thousand".