19954302816 has 192 divisors, whose sum is σ = 63115960320. Its totient is φ = 5392396800.

The previous prime is 19954302773. The next prime is 19954302829. The reversal of 19954302816 is 61820345991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13418425 + ... + 13419911.

It is an arithmetic number, because the mean of its divisors is an integer number (328728960).

Almost surely, 2^19954302816 is an apocalyptic number.

19954302816 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 19954302816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31557980160).

19954302816 is an abundant number, since it is smaller than the sum of its proper divisors (43161657504).

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

19954302816 is a wasteful number, since it uses less digits than its factorization.

19954302816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 19954302816 in words is "nineteen billion, nine hundred fifty-four million, three hundred two thousand, eight hundred sixteen".