99175334400 has 720 divisors, whose sum is σ = 380689194600. Its totient is φ = 24568135680.

The previous prime is 99175334387. The next prime is 99175334411. The reversal of 99175334400 is 443357199.

99175334400 is a `hidden beast` number, since 9 + 9 + 175 + 33 + 440 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 237406464 + 98937927936 = 15408^2 + 314544^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174297316 + ... + 174297884.

Almost surely, 2^99175334400 is an apocalyptic number.

99175334400 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 99175334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190344597300).

99175334400 is an abundant number, since it is smaller than the sum of its proper divisors (281513860200).

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

99175334400 is a wasteful number, since it uses less digits than its factorization.

99175334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 99175334400 in words is "ninety-nine billion, one hundred seventy-five million, three hundred thirty-four thousand, four hundred".