191642813187840 has 1440 divisors, whose sum is σ = 809335934668800. Its totient is φ = 43275645149184.

The previous prime is 191642813187823. The next prime is 191642813187899. The reversal of 191642813187840 is 48781318246191.

191642813187840 is a `hidden beast` number, since 1 + 9 + 1 + 6 + 428 + 131 + 8 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2951633457 + ... + 2951698383.

It is an arithmetic number, because the mean of its divisors is an integer number (562038843520).

Almost surely, 2^{191642813187840} is an apocalyptic number.

191642813187840 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 191642813187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404667967334400).

191642813187840 is an abundant number, since it is smaller than the sum of its proper divisors (617693121480960).

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

191642813187840 is an frugal number, since it uses more digits than its factorization.

191642813187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65064 (or 65027 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 191642813187840 in words is "one hundred ninety-one trillion, six hundred forty-two billion, eight hundred thirteen million, one hundred eighty-seven thousand, eight hundred forty".