86706292352160 has 384 divisors, whose sum is σ = 306965517336576. Its totient is φ = 20412290764800.

The previous prime is 86706292352149. The next prime is 86706292352221. The reversal of 86706292352160 is 6125329260768.

It is a super-2 number, since 2×86706292352160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86706292352160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1141089529 + ... + 1141165511.

It is an arithmetic number, because the mean of its divisors is an integer number (799389368064).

Almost surely, 2^{86706292352160} is an apocalyptic number.

86706292352160 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 86706292352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153482758668288).

86706292352160 is an abundant number, since it is smaller than the sum of its proper divisors (220259224984416).

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

86706292352160 is a wasteful number, since it uses less digits than its factorization.

86706292352160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83988 (or 83980 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 86706292352160 in words is "eighty-six trillion, seven hundred six billion, two hundred ninety-two million, three hundred fifty-two thousand, one hundred sixty".