99031766400 has 480 divisors, whose sum is σ = 417663647280. Its totient is φ = 22635417600.

The previous prime is 99031766359. The next prime is 99031766401. The reversal of 99031766400 is 466713099.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99031766401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1787110 + ... + 1841690.

Almost surely, 2^99031766400 is an apocalyptic number.

99031766400 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 99031766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208831823640).

99031766400 is an abundant number, since it is smaller than the sum of its proper divisors (318631880880).

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

99031766400 is a wasteful number, since it uses less digits than its factorization.

99031766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54624 (or 54598 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 99031766400 in words is "ninety-nine billion, thirty-one million, seven hundred sixty-six thousand, four hundred".