868592705400 has 1152 divisors, whose sum is σ = 3592645056000. Its totient is φ = 188918231040.

The previous prime is 868592705369. The next prime is 868592705447. The reversal of 868592705400 is 4507295868.

868592705400 is a `hidden beast` number, since 8 + 6 + 8 + 5 + 92 + 7 + 0 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2829292047 + ... + 2829292353.

It is an arithmetic number, because the mean of its divisors is an integer number (3118615500).

Almost surely, 2^868592705400 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 868592705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796322528000).

868592705400 is an abundant number, since it is smaller than the sum of its proper divisors (2724052350600).

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

868592705400 is a wasteful number, since it uses less digits than its factorization.

868592705400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 868592705400 in words is "eight hundred sixty-eight billion, five hundred ninety-two million, seven hundred five thousand, four hundred".