19896510816 has 480 divisors, whose sum is σ = 73151527680. Its totient is φ = 5165005824.

The previous prime is 19896510811. The next prime is 19896510853. The reversal of 19896510816 is 61801569891.

It is a super-2 number, since 2×19896510816² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19896510811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15802795 + ... + 15804053.

It is an arithmetic number, because the mean of its divisors is an integer number (152399016).

Almost surely, 2^19896510816 is an apocalyptic number.

19896510816 is a gapful number since it is divisible by the number (16) 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 19896510816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36575763840).

19896510816 is an abundant number, since it is smaller than the sum of its proper divisors (53255016864).

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

19896510816 is a wasteful number, since it uses less digits than its factorization.

19896510816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 19896510816 in words is "nineteen billion, eight hundred ninety-six million, five hundred ten thousand, eight hundred sixteen".