99289621670400 has 3600 divisors, whose sum is σ = 465620845456800. Its totient is φ = 20753066557440.

The previous prime is 99289621670377. The next prime is 99289621670461. The reversal of 99289621670400 is 407612698299.

99289621670400 is a `hidden beast` number, since 9 + 9 + 2 + 8 + 9 + 6 + 216 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27992561427 + ... + 27992564973.

It is an arithmetic number, because the mean of its divisors is an integer number (129339123738).

Almost surely, 2^{99289621670400} is an apocalyptic number.

99289621670400 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 99289621670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232810422728400).

99289621670400 is an abundant number, since it is smaller than the sum of its proper divisors (366331223786400).

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

99289621670400 is a wasteful number, since it uses less digits than its factorization.

99289621670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 99289621670400 in words is "ninety-nine trillion, two hundred eighty-nine billion, six hundred twenty-one million, six hundred seventy thousand, four hundred".