86299835440 has 320 divisors, whose sum is σ = 253015805952. Its totient is φ = 26649907200.

The previous prime is 86299835437. The next prime is 86299835483. The reversal of 86299835440 is 4453899268.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53237830 + ... + 53239450.

Almost surely, 2^86299835440 is an apocalyptic number.

86299835440 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 86299835440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126507902976).

86299835440 is an abundant number, since it is smaller than the sum of its proper divisors (166715970512).

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

86299835440 is a wasteful number, since it uses less digits than its factorization.

86299835440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 86299835440 in words is "eighty-six billion, two hundred ninety-nine million, eight hundred thirty-five thousand, four hundred forty".