21482832778560 has 1120 divisors, whose sum is σ = 82089367252992. Its totient is φ = 5323126947840.

The previous prime is 21482832778541. The next prime is 21482832778571. The reversal of 21482832778560 is 6587723828412.

21482832778560 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 283 + 277 + 85 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2001562954 + ... + 2001573686.

Almost surely, 2^{21482832778560} is an apocalyptic number.

21482832778560 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 21482832778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41044683626496).

21482832778560 is an abundant number, since it is smaller than the sum of its proper divisors (60606534474432).

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

21482832778560 is a wasteful number, since it uses less digits than its factorization.

21482832778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10893 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 21482832778560 in words is "twenty-one trillion, four hundred eighty-two billion, eight hundred thirty-two million, seven hundred seventy-eight thousand, five hundred sixty".