86927722858080 has 2304 divisors, whose sum is σ = 370254128025600. Its totient is φ = 19026690048000.

The previous prime is 86927722858033. The next prime is 86927722858087. The reversal of 86927722858080 is 8085822772968.

86927722858080 is a `hidden beast` number, since 8 + 6 + 9 + 277 + 228 + 58 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86927722858087) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115749297705 + ... + 115749298455.

It is an arithmetic number, because the mean of its divisors is an integer number (160700576400).

Almost surely, 2^{86927722858080} is an apocalyptic number.

86927722858080 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 86927722858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185127064012800).

86927722858080 is an abundant number, since it is smaller than the sum of its proper divisors (283326405167520).

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

86927722858080 is a wasteful number, since it uses less digits than its factorization.

86927722858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 86927722858080 in words is "eighty-six trillion, nine hundred twenty-seven billion, seven hundred twenty-two million, eight hundred fifty-eight thousand, eighty".