86135144880 has 80 divisors (see below), whose sum is σ = 267076343520. Its totient is φ = 22964434944.

The previous prime is 86135144857. The next prime is 86135144881. The reversal of 86135144880 is 8844153168.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86135144881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157436 + ... + 1229604.

It is an arithmetic number, because the mean of its divisors is an integer number (3338454294).

Almost surely, 2^86135144880 is an apocalyptic number.

86135144880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86135144880 is an abundant number, since it is smaller than the sum of its proper divisors (180941198640).

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

86135144880 is a wasteful number, since it uses less digits than its factorization.

86135144880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77158 (or 77152 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 86135144880 in words is "eighty-six billion, one hundred thirty-five million, one hundred forty-four thousand, eight hundred eighty".