99958003200 has 1080 divisors, whose sum is σ = 402684570288. Its totient is φ = 23654400000.

The previous prime is 99958003193. The next prime is 99958003207. The reversal of 99958003200 is 230085999.

It is an interprime number because it is at equal distance from previous prime (99958003193) and next prime (99958003207).

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 (99958003207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 989683150 + ... + 989683250.

Almost surely, 2^99958003200 is an apocalyptic number.

99958003200 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 99958003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201342285144).

99958003200 is an abundant number, since it is smaller than the sum of its proper divisors (302726567088).

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

99958003200 is a wasteful number, since it uses less digits than its factorization.

99958003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 99958003200 in words is "ninety-nine billion, nine hundred fifty-eight million, three thousand, two hundred".