86392989200 has 240 divisors, whose sum is σ = 245321619840. Its totient is φ = 28624527360.

The previous prime is 86392989191. The next prime is 86392989203. The reversal of 86392989200 is 298929368.

It is a super-2 number, since 2×86392989200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (86392989203) 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, 9938456 + ... + 9947144.

It is an arithmetic number, because the mean of its divisors is an integer number (1022173416).

Almost surely, 2^86392989200 is an apocalyptic number.

86392989200 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 86392989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122660809920).

86392989200 is an abundant number, since it is smaller than the sum of its proper divisors (158928630640).

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

86392989200 is a wasteful number, since it uses less digits than its factorization.

86392989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 86392989200 in words is "eighty-six billion, three hundred ninety-two million, nine hundred eighty-nine thousand, two hundred".