99174196800 has 1680 divisors, whose sum is σ = 448175481600. Its totient is φ = 21459271680.

The previous prime is 99174196763. The next prime is 99174196801. The reversal of 99174196800 is 869147199.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (99174196801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1022414352 + ... + 1022414448.

It is an arithmetic number, because the mean of its divisors is an integer number (266771120).

Almost surely, 2^99174196800 is an apocalyptic number.

99174196800 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 99174196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224087740800).

99174196800 is an abundant number, since it is smaller than the sum of its proper divisors (349001284800).

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

99174196800 is a wasteful number, since it uses less digits than its factorization.

99174196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 99174196800 in words is "ninety-nine billion, one hundred seventy-four million, one hundred ninety-six thousand, eight hundred".