868406510400 has 1344 divisors, whose sum is σ = 3549168838656. Its totient is φ = 182882304000.

The previous prime is 868406510383. The next prime is 868406510417. The reversal of 868406510400 is 4015604868.

It is an interprime number because it is at equal distance from previous prime (868406510383) and next prime (868406510417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1057741990 + ... + 1057742810.

It is an arithmetic number, because the mean of its divisors is an integer number (2640750624).

Almost surely, 2^868406510400 is an apocalyptic number.

868406510400 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 868406510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774584419328).

868406510400 is an abundant number, since it is smaller than the sum of its proper divisors (2680762328256).

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

868406510400 is a wasteful number, since it uses less digits than its factorization.

868406510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 868406510400 in words is "eight hundred sixty-eight billion, four hundred six million, five hundred ten thousand, four hundred".