86313410472960 has 440 divisors, whose sum is σ = 337416521934096. Its totient is φ = 20924462039040.

The previous prime is 86313410472917. The next prime is 86313410472973. The reversal of 86313410472960 is 6927401431368.

86313410472960 is a `hidden beast` number, since 8 + 6 + 3 + 1 + 341 + 0 + 4 + 7 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86313410472897 and 86313410472906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4898287 + ... + 14022126.

Almost surely, 2^{86313410472960} is an apocalyptic number.

86313410472960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86313410472960 is an abundant number, since it is smaller than the sum of its proper divisors (251103111461136).

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

86313410472960 is a wasteful number, since it uses less digits than its factorization.

86313410472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18920461 (or 18920434 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 86313410472960 in words is "eighty-six trillion, three hundred thirteen billion, four hundred ten million, four hundred seventy-two thousand, nine hundred sixty".