875149946880 has 1248 divisors, whose sum is σ = 3429752295168. Its totient is φ = 188271820800.

The previous prime is 875149946851. The next prime is 875149946917. The reversal of 875149946880 is 88649941578.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4147629975 + ... + 4147630185.

Almost surely, 2^875149946880 is an apocalyptic number.

875149946880 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 875149946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714876147584).

875149946880 is an abundant number, since it is smaller than the sum of its proper divisors (2554602348288).

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

875149946880 is a wasteful number, since it uses less digits than its factorization.

875149946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 875149946880 in words is "eight hundred seventy-five billion, one hundred forty-nine million, nine hundred forty-six thousand, eight hundred eighty".