8710897364400 has 1440 divisors, whose sum is σ = 36064685998080. Its totient is φ = 1776902400000.

The previous prime is 8710897364399. The next prime is 8710897364447. The reversal of 8710897364400 is 44637980178.

It is a super-2 number, since 2×8710897364400² (a number of 27 digits) contains 22 as substring.

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, 11599064025 + ... + 11599064775.

It is an arithmetic number, because the mean of its divisors is an integer number (25044920832).

Almost surely, 2^{8710897364400} is an apocalyptic number.

8710897364400 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 8710897364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032342999040).

8710897364400 is an abundant number, since it is smaller than the sum of its proper divisors (27353788633680).

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

8710897364400 is a wasteful number, since it uses less digits than its factorization.

8710897364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 8710897364400 in words is "eight trillion, seven hundred ten billion, eight hundred ninety-seven million, three hundred sixty-four thousand, four hundred".