21583871760 has 160 divisors (see below), whose sum is σ = 75509988480. Its totient is φ = 5052006400.

The previous prime is 21583871753. The next prime is 21583871779. The reversal of 21583871760 is 6717838512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64401 + ... + 217520.

It is an arithmetic number, because the mean of its divisors is an integer number (471937428).

Almost surely, 2^21583871760 is an apocalyptic number.

21583871760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21583871760 is an abundant number, since it is smaller than the sum of its proper divisors (53926116720).

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

21583871760 is a wasteful number, since it uses less digits than its factorization.

21583871760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281977 (or 281971 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 21583871760 in words is "twenty-one billion, five hundred eighty-three million, eight hundred seventy-one thousand, seven hundred sixty".