196593305091840 has 864 divisors, whose sum is σ = 710600559963840. Its totient is φ = 52038232178688.

The previous prime is 196593305091829. The next prime is 196593305091851. The reversal of 196593305091840 is 48190503395691.

196593305091840 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 93 + 30 + 509 + 1 + 8 + 4 + 0 = 666.

196593305091840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196593305091829) and next prime (196593305091851).

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

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, 38151230704 + ... + 38151235856.

It is an arithmetic number, because the mean of its divisors is an integer number (822454351810).

Almost surely, 2^{196593305091840} is an apocalyptic number.

196593305091840 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 196593305091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355300279981920).

196593305091840 is an abundant number, since it is smaller than the sum of its proper divisors (514007254872000).

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

196593305091840 is an equidigital number, since it uses as much as digits as its factorization.

196593305091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 196593305091840 in words is "one hundred ninety-six trillion, five hundred ninety-three billion, three hundred five million, ninety-one thousand, eight hundred forty".