86391327600 has 600 divisors, whose sum is σ = 333332044848. Its totient is φ = 21349785600.

The previous prime is 86391327593. The next prime is 86391327637. The reversal of 86391327600 is 672319368.

86391327600 is a `hidden beast` number, since 8 + 6 + 3 + 9 + 1 + 32 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×86391327600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36902430 + ... + 36904770.

Almost surely, 2^86391327600 is an apocalyptic number.

86391327600 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 86391327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166666022424).

86391327600 is an abundant number, since it is smaller than the sum of its proper divisors (246940717248).

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

86391327600 is a wasteful number, since it uses less digits than its factorization.

86391327600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 86391327600 in words is "eighty-six billion, three hundred ninety-one million, three hundred twenty-seven thousand, six hundred".