21630681262080 has 1440 divisors, whose sum is σ = 87431147163360. Its totient is φ = 5072589619200.

The previous prime is 21630681262079. The next prime is 21630681262153. The reversal of 21630681262080 is 8026218603612.

21630681262080 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 0 + 6 + 8 + 12 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8768009007 + ... + 8768011473.

It is an arithmetic number, because the mean of its divisors is an integer number (60716074419).

Almost surely, 2^{21630681262080} is an apocalyptic number.

21630681262080 is a gapful number since it is divisible by the number (20) 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 21630681262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43715573581680).

21630681262080 is an abundant number, since it is smaller than the sum of its proper divisors (65800465901280).

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

21630681262080 is a wasteful number, since it uses less digits than its factorization.

21630681262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 21630681262080 its reverse (8026218603612), we get a palindrome (29656899865692).

The spelling of 21630681262080 in words is "twenty-one trillion, six hundred thirty billion, six hundred eighty-one million, two hundred sixty-two thousand, eighty".