86465247120 has 1440 divisors, whose sum is σ = 382608368640. Its totient is φ = 17871114240.

The previous prime is 86465247109. The next prime is 86465247131. The reversal of 86465247120 is 2174256468.

86465247120 is a `hidden beast` number, since 86 + 46 + 524 + 7 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86465247109) and next prime (86465247131).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1184455404 + ... + 1184455476.

It is an arithmetic number, because the mean of its divisors is an integer number (265700256).

Almost surely, 2^86465247120 is an apocalyptic number.

86465247120 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 86465247120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191304184320).

86465247120 is an abundant number, since it is smaller than the sum of its proper divisors (296143121520).

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

86465247120 is a wasteful number, since it uses less digits than its factorization.

86465247120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 86465247120 in words is "eighty-six billion, four hundred sixty-five million, two hundred forty-seven thousand, one hundred twenty".