86904595844352 has 504 divisors, whose sum is σ = 305555207911968. Its totient is φ = 24308970393600.

The previous prime is 86904595844333. The next prime is 86904595844477. The reversal of 86904595844352 is 25344859540968.

86904595844352 is a `hidden beast` number, since 8 + 6 + 9 + 0 + 4 + 5 + 9 + 584 + 4 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25059027 + ... + 28315437.

Almost surely, 2^{86904595844352} 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 86904595844352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152777603955984).

86904595844352 is an abundant number, since it is smaller than the sum of its proper divisors (218650612067616).

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

86904595844352 is a wasteful number, since it uses less digits than its factorization.

86904595844352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256469 (or 3256440 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 86904595844352 in words is "eighty-six trillion, nine hundred four billion, five hundred ninety-five million, eight hundred forty-four thousand, three hundred fifty-two".