21788541000 has 256 divisors, whose sum is σ = 78141024000. Its totient is φ = 5609721600.

The previous prime is 21788540981. The next prime is 21788541083. The reversal of 21788541000 is 14588712.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 769087 + ... + 796913.

It is an arithmetic number, because the mean of its divisors is an integer number (305238375).

Almost surely, 2^21788541000 is an apocalyptic number.

21788541000 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 21788541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070512000).

21788541000 is an abundant number, since it is smaller than the sum of its proper divisors (56352483000).

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

21788541000 is a wasteful number, since it uses less digits than its factorization.

21788541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27886 (or 27866 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 21788541000 in words is "twenty-one billion, seven hundred eighty-eight million, five hundred forty-one thousand".