99889668750240 has 864 divisors, whose sum is σ = 368635583796480. Its totient is φ = 25540442449920.

The previous prime is 99889668750229. The next prime is 99889668750247. The reversal of 99889668750240 is 4205786698899.

99889668750240 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 9 + 6 + 68 + 7 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 99889668750240.

It is not an unprimeable number, because it can be changed into a prime (99889668750247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4072628857 + ... + 4072653383.

It is an arithmetic number, because the mean of its divisors is an integer number (426661555320).

Almost surely, 2^{99889668750240} is an apocalyptic number.

99889668750240 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 99889668750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184317791898240).

99889668750240 is an abundant number, since it is smaller than the sum of its proper divisors (268745915046240).

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

99889668750240 is a wasteful number, since it uses less digits than its factorization.

99889668750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24728 (or 24677 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 99889668750240 in words is "ninety-nine trillion, eight hundred eighty-nine billion, six hundred sixty-eight million, seven hundred fifty thousand, two hundred forty".