86400079488 has 160 divisors (see below), whose sum is σ = 260748940320. Its totient is φ = 28394150400.

The previous prime is 86400079481. The next prime is 86400079501. The reversal of 86400079488 is 88497000468.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (86400079481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 677443 + ... + 794813.

It is an arithmetic number, because the mean of its divisors is an integer number (1629680877).

Almost surely, 2^86400079488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86400079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130374470160).

86400079488 is an abundant number, since it is smaller than the sum of its proper divisors (174348860832).

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

86400079488 is a wasteful number, since it uses less digits than its factorization.

86400079488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117468 (or 117447 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 86400079488 in words is "eighty-six billion, four hundred million, seventy-nine thousand, four hundred eighty-eight".