86607549672480 has 1152 divisors, whose sum is σ = 323985665203200. Its totient is φ = 20985346916352.

The previous prime is 86607549672473. The next prime is 86607549672509. The reversal of 86607549672480 is 8427694570668.

86607549672480 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 7 + 54 + 96 + 7 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86607549672399 and 86607549672408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22477950234 + ... + 22477954086.

It is an arithmetic number, because the mean of its divisors is an integer number (281237556600).

Almost surely, 2^{86607549672480} is an apocalyptic number.

86607549672480 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 86607549672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161992832601600).

86607549672480 is an abundant number, since it is smaller than the sum of its proper divisors (237378115530720).

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

86607549672480 is a wasteful number, since it uses less digits than its factorization.

86607549672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 86607549672480 in words is "eighty-six trillion, six hundred seven billion, five hundred forty-nine million, six hundred seventy-two thousand, four hundred eighty".