8712816395400 has 864 divisors, whose sum is σ = 33591878910720. Its totient is φ = 2019333888000.

The previous prime is 8712816395303. The next prime is 8712816395441. The reversal of 8712816395400 is 45936182178.

8712816395400 is a `hidden beast` number, since 8 + 7 + 12 + 81 + 6 + 3 + 9 + 540 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 348904915 + ... + 348929885.

It is an arithmetic number, because the mean of its divisors is an integer number (38879489480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅8712816395400 = 17425632790800, but 3⋅8712816395400 = 26138449186200 is not.

Almost surely, 2^{8712816395400} 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 8712816395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795939455360).

8712816395400 is an abundant number, since it is smaller than the sum of its proper divisors (24879062515320).

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

8712816395400 is a wasteful number, since it uses less digits than its factorization.

8712816395400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25087 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 8712816395400 in words is "eight trillion, seven hundred twelve billion, eight hundred sixteen million, three hundred ninety-five thousand, four hundred".