19581796416 has 448 divisors, whose sum is σ = 68293406720. Its totient is φ = 4807434240.

The previous prime is 19581796313. The next prime is 19581796427. The reversal of 19581796416 is 61469718591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20249565 + ... + 20250531.

It is an arithmetic number, because the mean of its divisors is an integer number (152440640).

Almost surely, 2^19581796416 is an apocalyptic number.

19581796416 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 19581796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34146703360).

19581796416 is an abundant number, since it is smaller than the sum of its proper divisors (48711610304).

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

19581796416 is a wasteful number, since it uses less digits than its factorization.

19581796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1072 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The spelling of 19581796416 in words is "nineteen billion, five hundred eighty-one million, seven hundred ninety-six thousand, four hundred sixteen".