19513472090112 has 3072 divisors, whose sum is σ = 82441981440000. Its totient is φ = 4369888051200.

The previous prime is 19513472090111. The next prime is 19513472090117. The reversal of 19513472090112 is 21109027431591.

19513472090112 is a `hidden beast` number, since 1 + 9 + 513 + 47 + 2 + 0 + 90 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19513472090111) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 274837635037 + ... + 274837635107.

It is an arithmetic number, because the mean of its divisors is an integer number (26836582500).

Almost surely, 2^{19513472090112} is an apocalyptic number.

19513472090112 is a gapful number since it is divisible by the number (12) 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 19513472090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41220990720000).

19513472090112 is an abundant number, since it is smaller than the sum of its proper divisors (62928509349888).

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

19513472090112 is a wasteful number, since it uses less digits than its factorization.

19513472090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 19513472090112 in words is "nineteen trillion, five hundred thirteen billion, four hundred seventy-two million, ninety thousand, one hundred twelve".