86569989940224 has 1320 divisors, whose sum is σ = 307733398777728. Its totient is φ = 24161746452480.

The previous prime is 86569989940223. The next prime is 86569989940337. The reversal of 86569989940224 is 42204998996568.

86569989940224 is a `hidden beast` number, since 8 + 6 + 569 + 9 + 8 + 9 + 9 + 40 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (86569989940223) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58374908187 + ... + 58374909669.

Almost surely, 2^{86569989940224} is an apocalyptic number.

86569989940224 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 86569989940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153866699388864).

86569989940224 is an abundant number, since it is smaller than the sum of its proper divisors (221163408837504).

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

86569989940224 is a wasteful number, since it uses less digits than its factorization.

86569989940224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 4837294080, while the sum is 81.

The spelling of 86569989940224 in words is "eighty-six trillion, five hundred sixty-nine billion, nine hundred eighty-nine million, nine hundred forty thousand, two hundred twenty-four".