86199294400 has 168 divisors, whose sum is σ = 219496379904. Its totient is φ = 33283660800.

The previous prime is 86199294397. The next prime is 86199294413. The reversal of 86199294400 is 449299168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21970839 + ... + 21974761.

Almost surely, 2^86199294400 is an apocalyptic number.

86199294400 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 86199294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109748189952).

86199294400 is an abundant number, since it is smaller than the sum of its proper divisors (133297085504).

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

86199294400 is a wasteful number, since it uses less digits than its factorization.

86199294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 86199294400 in words is "eighty-six billion, one hundred ninety-nine million, two hundred ninety-four thousand, four hundred".