86139253200 has 480 divisors, whose sum is σ = 370488287232. Its totient is φ = 16521984000.

The previous prime is 86139253199. The next prime is 86139253223. The reversal of 86139253200 is 235293168.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1165345 + ... + 1237055.

Almost surely, 2^86139253200 is an apocalyptic number.

86139253200 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 86139253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185244143616).

86139253200 is an abundant number, since it is smaller than the sum of its proper divisors (284349034032).

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

86139253200 is a wasteful number, since it uses less digits than its factorization.

86139253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71763 (or 71752 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 86139253200 in words is "eighty-six billion, one hundred thirty-nine million, two hundred fifty-three thousand, two hundred".