21486634560 has 448 divisors, whose sum is σ = 80724695040. Its totient is φ = 5361500160.

The previous prime is 21486634513. The next prime is 21486634667. The reversal of 21486634560 is 6543668412.

21486634560 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 6 + 634 + 5 + 6 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 35397777 + ... + 35398383.

Almost surely, 2^21486634560 is an apocalyptic number.

21486634560 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 21486634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40362347520).

21486634560 is an abundant number, since it is smaller than the sum of its proper divisors (59238060480).

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

21486634560 is a wasteful number, since it uses less digits than its factorization.

21486634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 21486634560 in words is "twenty-one billion, four hundred eighty-six million, six hundred thirty-four thousand, five hundred sixty".