191960787997440 has 1152 divisors, whose sum is σ = 886206608179200. Its totient is φ = 38153684828160.

The previous prime is 191960787997439. The next prime is 191960787997481. The reversal of 191960787997440 is 44799787069191.

191960787997440 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 6 + 0 + 7 + 87 + 9 + 97 + 440 = 666.

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 191960787997440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59637601 + ... + 62773919.

It is an arithmetic number, because the mean of its divisors is an integer number (769276569600).

Almost surely, 2^{191960787997440} is an apocalyptic number.

191960787997440 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 191960787997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443103304089600).

191960787997440 is an abundant number, since it is smaller than the sum of its proper divisors (694245820181760).

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

191960787997440 is a wasteful number, since it uses less digits than its factorization.

191960787997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136390 (or 3136370 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 81.

The spelling of 191960787997440 in words is "one hundred ninety-one trillion, nine hundred sixty billion, seven hundred eighty-seven million, nine hundred ninety-seven thousand, four hundred forty".