99582566400 has 1176 divisors, whose sum is σ = 399675736080. Its totient is φ = 24524881920.

The previous prime is 99582566393. The next prime is 99582566407. The reversal of 99582566400 is 466528599.

It is a happy number.

99582566400 is a `hidden beast` number, since 9 + 9 + 582 + 56 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99582566393) and next prime (99582566407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99582566407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3433881586 + ... + 3433881614.

Almost surely, 2^99582566400 is an apocalyptic number.

99582566400 is a gapful number since it is divisible by the number (90) 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 99582566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199837868040).

99582566400 is an abundant number, since it is smaller than the sum of its proper divisors (300093169680).

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

99582566400 is an equidigital number, since it uses as much as digits as its factorization.

99582566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 99582566400 in words is "ninety-nine billion, five hundred eighty-two million, five hundred sixty-six thousand, four hundred".