191090780160 has 1152 divisors, whose sum is σ = 756130152960. Its totient is φ = 41023438848.

The previous prime is 191090780149. The next prime is 191090780183. The reversal of 191090780160 is 61087090191.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2617681884 + ... + 2617681956.

It is an arithmetic number, because the mean of its divisors is an integer number (656362980).

Almost surely, 2^191090780160 is an apocalyptic number.

191090780160 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 191090780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378065076480).

191090780160 is an abundant number, since it is smaller than the sum of its proper divisors (565039372800).

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

191090780160 is a wasteful number, since it uses less digits than its factorization.

191090780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 42.

The spelling of 191090780160 in words is "one hundred ninety-one billion, ninety million, seven hundred eighty thousand, one hundred sixty".