191867975040 has 768 divisors, whose sum is σ = 735354720000. Its totient is φ = 42407608320.

The previous prime is 191867975023. The next prime is 191867975087. The reversal of 191867975040 is 40579768191.

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 95 ways as a sum of consecutive naturals, for example, 384504711 + ... + 384505209.

It is an arithmetic number, because the mean of its divisors is an integer number (957493125).

Almost surely, 2^191867975040 is an apocalyptic number.

191867975040 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 191867975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367677360000).

191867975040 is an abundant number, since it is smaller than the sum of its proper divisors (543486744960).

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

191867975040 is a wasteful number, since it uses less digits than its factorization.

191867975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 191867975040 in words is "one hundred ninety-one billion, eight hundred sixty-seven million, nine hundred seventy-five thousand, forty".