99958618267200 has 3024 divisors, whose sum is σ = 497441290469760. Its totient is φ = 18519205478400.

The previous prime is 99958618267199. The next prime is 99958618267223. The reversal of 99958618267200 is 276281685999.

99958618267200 is a `hidden beast` number, since 9 + 9 + 9 + 586 + 18 + 2 + 6 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3939553714 + ... + 3939579086.

It is an arithmetic number, because the mean of its divisors is an integer number (164497781240).

Almost surely, 2^{99958618267200} is an apocalyptic number.

99958618267200 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 99958618267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248720645234880).

99958618267200 is an abundant number, since it is smaller than the sum of its proper divisors (397482672202560).

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

99958618267200 is a wasteful number, since it uses less digits than its factorization.

99958618267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25466 (or 25437 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 99958618267200 in words is "ninety-nine trillion, nine hundred fifty-eight billion, six hundred eighteen million, two hundred sixty-seven thousand, two hundred".