86675787378432 has 648 divisors, whose sum is σ = 292610890572000. Its totient is φ = 24602776289280.

The previous prime is 86675787378377. The next prime is 86675787378469. The reversal of 86675787378432 is 23487378757668.

86675787378432 is a `hidden beast` number, since 8 + 6 + 6 + 7 + 578 + 7 + 3 + 7 + 8 + 4 + 32 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31529932194 + ... + 31529934942.

Almost surely, 2^{86675787378432} 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 86675787378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146305445286000).

86675787378432 is an abundant number, since it is smaller than the sum of its proper divisors (205935103193568).

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

86675787378432 is a wasteful number, since it uses less digits than its factorization.

86675787378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4485 counting only the distinct ones).

The product of its digits is 15931883520, while the sum is 81.

The spelling of 86675787378432 in words is "eighty-six trillion, six hundred seventy-five billion, seven hundred eighty-seven million, three hundred seventy-eight thousand, four hundred thirty-two".