875798881920 has 384 divisors, whose sum is σ = 3117202807680. Its totient is φ = 226475827200.

The previous prime is 875798881897. The next prime is 875798881939. The reversal of 875798881920 is 29188897578.

875798881920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 24929007 + ... + 24964113.

It is an arithmetic number, because the mean of its divisors is an integer number (8117715645).

Almost surely, 2^875798881920 is an apocalyptic number.

875798881920 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 875798881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558601403840).

875798881920 is an abundant number, since it is smaller than the sum of its proper divisors (2241403925760).

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

875798881920 is a wasteful number, since it uses less digits than its factorization.

875798881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35264 (or 35249 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 72.

The spelling of 875798881920 in words is "eight hundred seventy-five billion, seven hundred ninety-eight million, eight hundred eighty-one thousand, nine hundred twenty".