86819905224 has 768 divisors, whose sum is σ = 295877836800. Its totient is φ = 22718361600.

The previous prime is 86819905177. The next prime is 86819905241. The reversal of 86819905224 is 42250991868.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 519879589 + ... + 519879755.

It is an arithmetic number, because the mean of its divisors is an integer number (385257600).

Almost surely, 2^86819905224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86819905224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147938918400).

86819905224 is an abundant number, since it is smaller than the sum of its proper divisors (209057931576).

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

86819905224 is a wasteful number, since it uses less digits than its factorization.

86819905224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 86819905224 in words is "eighty-six billion, eight hundred nineteen million, nine hundred five thousand, two hundred twenty-four".