86301418896 has 960 divisors, whose sum is σ = 327579033600. Its totient is φ = 21349785600.

The previous prime is 86301418891. The next prime is 86301418921. The reversal of 86301418896 is 69881410368.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86301418891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 969678820 + ... + 969678908.

It is an arithmetic number, because the mean of its divisors is an integer number (341228160).

Almost surely, 2^86301418896 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 86301418896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163789516800).

86301418896 is an abundant number, since it is smaller than the sum of its proper divisors (241277614704).

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

86301418896 is a wasteful number, since it uses less digits than its factorization.

86301418896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 86301418896 in words is "eighty-six billion, three hundred one million, four hundred eighteen thousand, eight hundred ninety-six".