86248344960 has 96 divisors (see below), whose sum is σ = 297826336080. Its totient is φ = 22999557120.

The previous prime is 86248344947. The next prime is 86248345009. The reversal of 86248344960 is 6944384268.

86248344960 is a `hidden beast` number, since 8 + 62 + 4 + 83 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 86248344897 and 86248344906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7481076 + ... + 7492595.

Almost surely, 2^86248344960 is an apocalyptic number.

86248344960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86248344960 is an abundant number, since it is smaller than the sum of its proper divisors (211577991120).

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

86248344960 is a wasteful number, since it uses less digits than its factorization.

86248344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14973696 (or 14973681 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 86248344960 in words is "eighty-six billion, two hundred forty-eight million, three hundred forty-four thousand, nine hundred sixty".