86605675634400 has 288 divisors, whose sum is σ = 304059886609248. Its totient is φ = 21285057331200.

The previous prime is 86605675634399. The next prime is 86605675634431. The reversal of 86605675634400 is 443657650668.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17833972 + ... + 22164428.

It is an arithmetic number, because the mean of its divisors is an integer number (1055763495171).

Almost surely, 2^{86605675634400} is an apocalyptic number.

86605675634400 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 86605675634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152029943304624).

86605675634400 is an abundant number, since it is smaller than the sum of its proper divisors (217454210974848).

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

86605675634400 is a wasteful number, since it uses less digits than its factorization.

86605675634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331134 (or 4331121 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 86605675634400 in words is "eighty-six trillion, six hundred five billion, six hundred seventy-five million, six hundred thirty-four thousand, four hundred".