86332337520 has 320 divisors, whose sum is σ = 314928843264. Its totient is φ = 19287797760.

The previous prime is 86332337513. The next prime is 86332337527. The reversal of 86332337520 is 2573323368.

It is an interprime number because it is at equal distance from previous prime (86332337513) and next prime (86332337527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86332337527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25978579 + ... + 25981901.

Almost surely, 2^86332337520 is an apocalyptic number.

86332337520 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 86332337520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157464421632).

86332337520 is an abundant number, since it is smaller than the sum of its proper divisors (228596505744).

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

86332337520 is a wasteful number, since it uses less digits than its factorization.

86332337520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 86332337520 in words is "eighty-six billion, three hundred thirty-two million, three hundred thirty-seven thousand, five hundred twenty".