91819190910000 has 200 divisors, whose sum is σ = 296438075500864. Its totient is φ = 24482351520000.

The previous prime is 91819190909933. The next prime is 91819190910079. The reversal of 91819190910000 is 1909191819.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 39 ways as a sum of consecutive naturals, for example, 272561667 + ... + 272898333.

Almost surely, 2^{91819190910000} 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 91819190910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148219037750432).

91819190910000 is an abundant number, since it is smaller than the sum of its proper divisors (204618884590864).

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

91819190910000 is a wasteful number, since it uses less digits than its factorization.

91819190910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345789 (or 345768 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 48.

The spelling of 91819190910000 in words is "ninety-one trillion, eight hundred nineteen billion, one hundred ninety million, nine hundred ten thousand".