86280090624 has 1320 divisors, whose sum is σ = 341546502528. Its totient is φ = 21459271680.

The previous prime is 86280090587. The next prime is 86280090643. The reversal of 86280090624 is 42609008268.

It is a self number, because there is not a number n which added to its sum of digits gives 86280090624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1215212509 + ... + 1215212579.

Almost surely, 2^86280090624 is an apocalyptic number.

86280090624 is a gapful number since it is divisible by the number (84) 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 86280090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170773251264).

86280090624 is an abundant number, since it is smaller than the sum of its proper divisors (255266411904).

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

86280090624 is a wasteful number, since it uses less digits than its factorization.

86280090624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 86280090624 in words is "eighty-six billion, two hundred eighty million, ninety thousand, six hundred twenty-four".