86513437587600 has 1215 divisors, whose sum is σ = 326415653100459. Its totient is φ = 21215802009600.

The previous prime is 86513437587589. The next prime is 86513437587601. The reversal of 86513437587600 is 678573431568.

It is a happy number.

The square root of 86513437587600 is 9301260.

It is a perfect power (a square), and thus also a powerful number.

86513437587600 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 3 + 43 + 7 + 587 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36414900594576 + 50098536993024 = 6034476^2 + 7078032^2 .

It is not an unprimeable number, because it can be changed into a prime (86513437587601) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 434740892301 + ... + 434740892499.

Almost surely, 2^{86513437587600} is an apocalyptic number.

86513437587600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86513437587600 is the 9301260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86513437587600

86513437587600 is an abundant number, since it is smaller than the sum of its proper divisors (239902215512859).

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

86513437587600 is a wasteful number, since it uses less digits than its factorization.

86513437587600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 86513437587600 in words is "eighty-six trillion, five hundred thirteen billion, four hundred thirty-seven million, five hundred eighty-seven thousand, six hundred".