99024242688 has 768 divisors, whose sum is σ = 358525440000. Its totient is φ = 26943307776.

The previous prime is 99024242687. The next prime is 99024242773. The reversal of 99024242688 is 88624242099.

It is a tau number, because it is divible by the number of its divisors (768).

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 (99024242687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436230031 + ... + 436230257.

It is an arithmetic number, because the mean of its divisors is an integer number (466830000).

Almost surely, 2^99024242688 is an apocalyptic number.

99024242688 is a gapful number since it is divisible by the number (98) 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 99024242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720000).

99024242688 is an abundant number, since it is smaller than the sum of its proper divisors (259501197312).

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

99024242688 is a wasteful number, since it uses less digits than its factorization.

99024242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 99024242688 in words is "ninety-nine billion, twenty-four million, two hundred forty-two thousand, six hundred eighty-eight".