86641682400 has 1080 divisors, whose sum is σ = 396013325400. Its totient is φ = 18271733760.

The previous prime is 86641682383. The next prime is 86641682429. The reversal of 86641682400 is 428614668.

86641682400 is a `hidden beast` number, since 86 + 6 + 4 + 168 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×86641682400² (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 179 ways as a sum of consecutive naturals, for example, 41276551 + ... + 41278649.

It is an arithmetic number, because the mean of its divisors is an integer number (366679005).

Almost surely, 2^86641682400 is an apocalyptic number.

86641682400 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 86641682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198006662700).

86641682400 is an abundant number, since it is smaller than the sum of its proper divisors (309371643000).

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

86641682400 is a wasteful number, since it uses less digits than its factorization.

86641682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86641682400 in words is "eighty-six billion, six hundred forty-one million, six hundred eighty-two thousand, four hundred".