86357149358400 has 1260 divisors, whose sum is σ = 342921698407200. Its totient is φ = 21306050887680.

The previous prime is 86357149358393. The next prime is 86357149358407. The reversal of 86357149358400 is 485394175368.

86357149358400 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 7 + 1 + 49 + 3 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86357149358393) and next prime (86357149358407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86357149358407) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2209790061 + ... + 2209829139.

Almost surely, 2^{86357149358400} is an apocalyptic number.

86357149358400 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 86357149358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460849203600).

86357149358400 is an abundant number, since it is smaller than the sum of its proper divisors (256564549048800).

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

86357149358400 is a wasteful number, since it uses less digits than its factorization.

86357149358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39206 (or 39165 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 86357149358400 in words is "eighty-six trillion, three hundred fifty-seven billion, one hundred forty-nine million, three hundred fifty-eight thousand, four hundred".