8086957899600 has 960 divisors, whose sum is σ = 28260271226880. Its totient is φ = 1971479347200.

The previous prime is 8086957899599. The next prime is 8086957899617. The reversal of 8086957899600 is 69987596808.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18421316181 + ... + 18421316619.

It is an arithmetic number, because the mean of its divisors is an integer number (29437782528).

Almost surely, 2^{8086957899600} is an apocalyptic number.

8086957899600 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 8086957899600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130135613440).

8086957899600 is an abundant number, since it is smaller than the sum of its proper divisors (20173313327280).

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

8086957899600 is a wasteful number, since it uses less digits than its factorization.

8086957899600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 75.

The spelling of 8086957899600 in words is "eight trillion, eighty-six billion, nine hundred fifty-seven million, eight hundred ninety-nine thousand, six hundred".