21619179930816 has 280 divisors, whose sum is σ = 69284315136960. Its totient is φ = 6626166571008.

The previous prime is 21619179930809. The next prime is 21619179930869. The reversal of 21619179930816 is 61803997191612.

21619179930816 is a `hidden beast` number, since 2 + 1 + 619 + 1 + 7 + 9 + 9 + 3 + 0 + 8 + 1 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 16695625 + ... + 17943863.

It is an arithmetic number, because the mean of its divisors is an integer number (247443982632).

Almost surely, 2^{21619179930816} is an apocalyptic number.

21619179930816 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 21619179930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34642157568480).

21619179930816 is an abundant number, since it is smaller than the sum of its proper divisors (47665135206144).

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

21619179930816 is a wasteful number, since it uses less digits than its factorization.

21619179930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248533 (or 1248514 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 21619179930816 in words is "twenty-one trillion, six hundred nineteen billion, one hundred seventy-nine million, nine hundred thirty thousand, eight hundred sixteen".