86327584358400 has 2700 divisors, whose sum is σ = 402860404165856. Its totient is φ = 17938199347200.

The previous prime is 86327584358371. The next prime is 86327584358447. The reversal of 86327584358400 is 485348572368.

86327584358400 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 7 + 5 + 8 + 43 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7847962214395 + ... + 7847962214405.

Almost surely, 2^{86327584358400} is an apocalyptic number.

86327584358400 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 86327584358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201430202082928).

86327584358400 is an abundant number, since it is smaller than the sum of its proper divisors (316532819807456).

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

86327584358400 is an frugal number, since it uses more digits than its factorization.

86327584358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 86327584358400 in words is "eighty-six trillion, three hundred twenty-seven billion, five hundred eighty-four million, three hundred fifty-eight thousand, four hundred".