21919113216 has 1008 divisors, whose sum is σ = 88830985152. Its totient is φ = 5255331840.

The previous prime is 21919113211. The next prime is 21919113221. The reversal of 21919113216 is 61231191912.

It is an interprime number because it is at equal distance from previous prime (21919113211) and next prime (21919113221).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5832) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21919113211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1686085626 + ... + 1686085638.

Almost surely, 2^21919113216 is an apocalyptic number.

21919113216 is a gapful number since it is divisible by the number (26) 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 21919113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44415492576).

21919113216 is an abundant number, since it is smaller than the sum of its proper divisors (66911871936).

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

21919113216 is an equidigital number, since it uses as much as digits as its factorization.

21919113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The spelling of 21919113216 in words is "twenty-one billion, nine hundred nineteen million, one hundred thirteen thousand, two hundred sixteen".