21996884477568 has 512 divisors, whose sum is σ = 79068322529280. Its totient is φ = 5232439296000.

The previous prime is 21996884477539. The next prime is 21996884477573. The reversal of 21996884477568 is 86577448869912.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48591468 + ... + 49042068.

It is an arithmetic number, because the mean of its divisors is an integer number (154430317440).

Almost surely, 2^{21996884477568} is an apocalyptic number.

21996884477568 is a gapful number since it is divisible by the number (28) 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 21996884477568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39534161264640).

21996884477568 is an abundant number, since it is smaller than the sum of its proper divisors (57071438051712).

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

21996884477568 is a wasteful number, since it uses less digits than its factorization.

21996884477568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450776 (or 450764 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 84.

The spelling of 21996884477568 in words is "twenty-one trillion, nine hundred ninety-six billion, eight hundred eighty-four million, four hundred seventy-seven thousand, five hundred sixty-eight".