99870768218880 has 1152 divisors, whose sum is σ = 370396566650880. Its totient is φ = 25453688832000.

The previous prime is 99870768218807. The next prime is 99870768218887. The reversal of 99870768218880 is 8881286707899.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 99870768218880.

It is not an unprimeable number, because it can be changed into a prime (99870768218887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31297638085 + ... + 31297641275.

It is an arithmetic number, because the mean of its divisors is an integer number (321524797440).

Almost surely, 2^{99870768218880} is an apocalyptic number.

99870768218880 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 99870768218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185198283325440).

99870768218880 is an abundant number, since it is smaller than the sum of its proper divisors (270525798432000).

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

99870768218880 is a wasteful number, since it uses less digits than its factorization.

99870768218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 81.

The spelling of 99870768218880 in words is "ninety-nine trillion, eight hundred seventy billion, seven hundred sixty-eight million, two hundred eighteen thousand, eight hundred eighty".