21872464560 has 320 divisors, whose sum is σ = 79623475200. Its totient is φ = 5507453952.

The previous prime is 21872464547. The next prime is 21872464597. The reversal of 21872464560 is 6546427812.

21872464560 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 24 + 64 + 560 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3921934 + ... + 3927506.

It is an arithmetic number, because the mean of its divisors is an integer number (248823360).

Almost surely, 2^21872464560 is an apocalyptic number.

21872464560 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 21872464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39811737600).

21872464560 is an abundant number, since it is smaller than the sum of its proper divisors (57751010640).

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

21872464560 is a wasteful number, since it uses less digits than its factorization.

21872464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5685 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 21872464560 in words is "twenty-one billion, eight hundred seventy-two million, four hundred sixty-four thousand, five hundred sixty".