86633838720 has 1536 divisors, whose sum is σ = 389754892800. Its totient is φ = 17388011520.

The previous prime is 86633838713. The next prime is 86633838727. The reversal of 86633838720 is 2783833668.

It is an interprime number because it is at equal distance from previous prime (86633838713) and next prime (86633838727).

It is a super-2 number, since 2×86633838720² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86633838727) 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, 322058746 + ... + 322059014.

It is an arithmetic number, because the mean of its divisors is an integer number (253746675).

Almost surely, 2^86633838720 is an apocalyptic number.

86633838720 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 86633838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194877446400).

86633838720 is an abundant number, since it is smaller than the sum of its proper divisors (303121054080).

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

86633838720 is a wasteful number, since it uses less digits than its factorization.

86633838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 86633838720 in words is "eighty-six billion, six hundred thirty-three million, eight hundred thirty-eight thousand, seven hundred twenty".