86114293760 has 192 divisors, whose sum is σ = 226720166400. Its totient is φ = 31132057600.

The previous prime is 86114293753. The next prime is 86114293817. The reversal of 86114293760 is 6739241168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20160425 + ... + 20164695.

It is an arithmetic number, because the mean of its divisors is an integer number (1180834200).

Almost surely, 2^86114293760 is an apocalyptic number.

86114293760 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 86114293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113360083200).

86114293760 is an abundant number, since it is smaller than the sum of its proper divisors (140605872640).

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

86114293760 is a wasteful number, since it uses less digits than its factorization.

86114293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 86114293760 in words is "eighty-six billion, one hundred fourteen million, two hundred ninety-three thousand, seven hundred sixty".