99446525798400 has 4320 divisors, whose sum is σ = 450436587400800. Its totient is φ = 21441753907200.

The previous prime is 99446525798357. The next prime is 99446525798443. The reversal of 99446525798400 is 489752564499.

99446525798400 is a `hidden beast` number, since 9 + 9 + 4 + 4 + 6 + 5 + 2 + 579 + 8 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99446525798357) and next prime (99446525798443).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×99446525798400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 250495027002 + ... + 250495027398.

It is an arithmetic number, because the mean of its divisors is an integer number (104267728565).

Almost surely, 2^{99446525798400} is an apocalyptic number.

99446525798400 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 99446525798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225218293700400).

99446525798400 is an abundant number, since it is smaller than the sum of its proper divisors (350990061602400).

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

99446525798400 is a wasteful number, since it uses less digits than its factorization.

99446525798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 99446525798400 in words is "ninety-nine trillion, four hundred forty-six billion, five hundred twenty-five million, seven hundred ninety-eight thousand, four hundred".