86733040320 has 336 divisors, whose sum is σ = 307415196192. Its totient is φ = 22434693120.

The previous prime is 86733040309. The next prime is 86733040379. The reversal of 86733040320 is 2304033768.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12821259 + ... + 12828021.

Almost surely, 2^86733040320 is an apocalyptic number.

86733040320 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 86733040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153707598096).

86733040320 is an abundant number, since it is smaller than the sum of its proper divisors (220682155872).

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

86733040320 is a wasteful number, since it uses less digits than its factorization.

86733040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 86733040320 in words is "eighty-six billion, seven hundred thirty-three million, forty thousand, three hundred twenty".