86235048960 has 176 divisors, whose sum is σ = 276879119616. Its totient is φ = 22907502592.

The previous prime is 86235048917. The next prime is 86235048967. The reversal of 86235048960 is 6984053268.

It is not an unprimeable number, because it can be changed into a prime (86235048967) 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, 4029007 + ... + 4050353.

It is an arithmetic number, because the mean of its divisors is an integer number (1573176816).

Almost surely, 2^86235048960 is an apocalyptic number.

86235048960 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 86235048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138439559808).

86235048960 is an abundant number, since it is smaller than the sum of its proper divisors (190644070656).

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

86235048960 is a wasteful number, since it uses less digits than its factorization.

86235048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21620 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 86235048960 in words is "eighty-six billion, two hundred thirty-five million, forty-eight thousand, nine hundred sixty".