86617634445200 has 30 divisors (see below), whose sum is σ = 208098866755554. Its totient is φ = 34647053777920.

The previous prime is 86617634445149. The next prime is 86617634445227. The reversal of 86617634445200 is 254443671668.

It can be written as a sum of positive squares in 3 ways, for example, as 18299607062416 + 68318027382784 = 4277804^2 + 8265472^2 .

It is a super-2 number, since 2×86617634445200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108272042657 + ... + 108272043456.

Almost surely, 2^{86617634445200} is an apocalyptic number.

86617634445200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86617634445200 is an abundant number, since it is smaller than the sum of its proper divisors (121481232310354).

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

86617634445200 is a wasteful number, since it uses less digits than its factorization.

86617634445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216544086131 (or 216544086120 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 56.

The spelling of 86617634445200 in words is "eighty-six trillion, six hundred seventeen billion, six hundred thirty-four million, four hundred forty-five thousand, two hundred".