99086138351200 has 1728 divisors, whose sum is σ = 357489897182208. Its totient is φ = 26259274137600.

The previous prime is 99086138351173. The next prime is 99086138351219. The reversal of 99086138351200 is 215383168099.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4478863339 + ... + 4478885461.

It is an arithmetic number, because the mean of its divisors is an integer number (206880727536).

Almost surely, 2^{99086138351200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99086138351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178744948591104).

99086138351200 is an abundant number, since it is smaller than the sum of its proper divisors (258403758831008).

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

99086138351200 is a wasteful number, since it uses less digits than its factorization.

99086138351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22245 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 99086138351200 in words is "ninety-nine trillion, eighty-six billion, one hundred thirty-eight million, three hundred fifty-one thousand, two hundred".