86037331840 has 128 divisors (see below), whose sum is σ = 218341526400. Its totient is φ = 32307314688.

The previous prime is 86037331813. The next prime is 86037331847. The reversal of 86037331840 is 4813373068.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86037331847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4309401 + ... + 4329319.

It is an arithmetic number, because the mean of its divisors is an integer number (1705793175).

Almost surely, 2^86037331840 is an apocalyptic number.

86037331840 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 86037331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109170763200).

86037331840 is an abundant number, since it is smaller than the sum of its proper divisors (132304194560).

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

86037331840 is a wasteful number, since it uses less digits than its factorization.

86037331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 86037331840 in words is "eighty-six billion, thirty-seven million, three hundred thirty-one thousand, eight hundred forty".