191919248640 has 1080 divisors, whose sum is σ = 821233900872. Its totient is φ = 42639851520.

The previous prime is 191919248629. The next prime is 191919248693. The reversal of 191919248640 is 46842919191.

It can be written as a sum of positive squares in 4 ways, for example, as 59504772096 + 132414476544 = 243936^2 + 363888^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 187971330 + ... + 187972350.

Almost surely, 2^191919248640 is an apocalyptic number.

191919248640 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 191919248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410616950436).

191919248640 is an abundant number, since it is smaller than the sum of its proper divisors (629314652232).

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

191919248640 is a wasteful number, since it uses less digits than its factorization.

191919248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 191919248640 in words is "one hundred ninety-one billion, nine hundred nineteen million, two hundred forty-eight thousand, six hundred forty".