21681476544 has 448 divisors, whose sum is σ = 72754053120. Its totient is φ = 5547294720.

The previous prime is 21681476533. The next prime is 21681476563. The reversal of 21681476544 is 44567418612.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 21681476493 and 21681476502.

It is a congruent number.

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, 113515489 + ... + 113515679.

It is an arithmetic number, because the mean of its divisors is an integer number (162397440).

Almost surely, 2^21681476544 is an apocalyptic number.

21681476544 is a gapful number since it is divisible by the number (24) 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 21681476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36377026560).

21681476544 is an abundant number, since it is smaller than the sum of its proper divisors (51072576576).

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

21681476544 is a wasteful number, since it uses less digits than its factorization.

21681476544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 21681476544 in words is "twenty-one billion, six hundred eighty-one million, four hundred seventy-six thousand, five hundred forty-four".