866868710400000 has 4032 divisors, whose sum is σ = 3942627882665472. Its totient is φ = 178274304000000.

The previous prime is 866868710399987. The next prime is 866868710400059. The reversal of 866868710400000 is 4017868668.

866868710400000 is a `hidden beast` number, since 86 + 6 + 86 + 87 + 1 + 0 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×866868710400000² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 866868710400000.

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, 2324044799814 + ... + 2324044800186.

It is an arithmetic number, because the mean of its divisors is an integer number (977834296296).

Almost surely, 2^{866868710400000} is an apocalyptic number.

866868710400000 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 866868710400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971313941332736).

866868710400000 is an abundant number, since it is smaller than the sum of its proper divisors (3075759172265472).

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

866868710400000 is a wasteful number, since it uses less digits than its factorization.

866868710400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 866868710400000 in words is "eight hundred sixty-six trillion, eight hundred sixty-eight billion, seven hundred ten million, four hundred thousand".