875948951823400 has 768 divisors, whose sum is σ = 2639550867932160. Its totient is φ = 262746884505600.

The previous prime is 875948951823371. The next prime is 875948951823409. The reversal of 875948951823400 is 4328159849578.

It is not an unprimeable number, because it can be changed into a prime (875948951823409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20987327332 + ... + 20987369068.

It is an arithmetic number, because the mean of its divisors is an integer number (3436915192620).

Almost surely, 2^{875948951823400} 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 875948951823400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319775433966080).

875948951823400 is an abundant number, since it is smaller than the sum of its proper divisors (1763601916108760).

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

875948951823400 is a wasteful number, since it uses less digits than its factorization.

875948951823400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42254 (or 42245 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 73.

The spelling of 875948951823400 in words is "eight hundred seventy-five trillion, nine hundred forty-eight billion, nine hundred fifty-one million, eight hundred twenty-three thousand, four hundred".