875412869466240 has 1024 divisors, whose sum is σ = 3554175449088000. Its totient is φ = 199483096301568.

The previous prime is 875412869466209. The next prime is 875412869466257. The reversal of 875412869466240 is 42664968214578.

875412869466240 is a `hidden beast` number, since 8 + 7 + 5 + 41 + 2 + 86 + 9 + 466 + 2 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 76837777984 + ... + 76837789376.

It is an arithmetic number, because the mean of its divisors is an integer number (3470874462000).

Almost surely, 2^{875412869466240} is an apocalyptic number.

875412869466240 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 875412869466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777087724544000).

875412869466240 is an abundant number, since it is smaller than the sum of its proper divisors (2678762579621760).

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

875412869466240 is a wasteful number, since it uses less digits than its factorization.

875412869466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13314 (or 13296 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 875412869466240 in words is "eight hundred seventy-five trillion, four hundred twelve billion, eight hundred sixty-nine million, four hundred sixty-six thousand, two hundred forty".