19812668113920 has 704 divisors, whose sum is σ = 70143332852736. Its totient is φ = 4733178347520.

The previous prime is 19812668113727. The next prime is 19812668113949. The reversal of 19812668113920 is 2931186621891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×19812668113920³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3561505059 + ... + 3561510621.

It is an arithmetic number, because the mean of its divisors is an integer number (99635415984).

Almost surely, 2^{19812668113920} is an apocalyptic number.

19812668113920 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 19812668113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35071666426368).

19812668113920 is an abundant number, since it is smaller than the sum of its proper divisors (50330664738816).

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

19812668113920 is a wasteful number, since it uses less digits than its factorization.

19812668113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 57.

The spelling of 19812668113920 in words is "nineteen trillion, eight hundred twelve billion, six hundred sixty-eight million, one hundred thirteen thousand, nine hundred twenty".