191820090910000 has 400 divisors, whose sum is σ = 547120416623616. Its totient is φ = 63765909504000.

The previous prime is 191820090909983. The next prime is 191820090910067. The reversal of 191820090910000 is 19090028191.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351757552 + ... + 352302448.

Almost surely, 2^{191820090910000} is an apocalyptic number.

191820090910000 is a gapful number since it is divisible by the number (10) 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 191820090910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273560208311808).

191820090910000 is an abundant number, since it is smaller than the sum of its proper divisors (355300325713616).

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

191820090910000 is a wasteful number, since it uses less digits than its factorization.

191820090910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545086 (or 545065 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 191820090910000 in words is "one hundred ninety-one trillion, eight hundred twenty billion, ninety million, nine hundred ten thousand".