86178578400 has 288 divisors, whose sum is σ = 311992531200. Its totient is φ = 22957862400.

The previous prime is 86178578357. The next prime is 86178578401. The reversal of 86178578400 is 487587168.

It is a happy number.

86178578400 is a `hidden beast` number, since 8 + 61 + 7 + 8 + 578 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86178578401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39548511 + ... + 39550689.

It is an arithmetic number, because the mean of its divisors is an integer number (1083307400).

Almost surely, 2^86178578400 is an apocalyptic number.

86178578400 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 86178578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155996265600).

86178578400 is an abundant number, since it is smaller than the sum of its proper divisors (225813952800).

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

86178578400 is a wasteful number, since it uses less digits than its factorization.

86178578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 86178578400 in words is "eighty-six billion, one hundred seventy-eight million, five hundred seventy-eight thousand, four hundred".