21849770880 has 768 divisors, whose sum is σ = 92386344960. Its totient is φ = 4644864000.

The previous prime is 21849770869. The next prime is 21849770911. The reversal of 21849770880 is 8807794812.

It is a happy number.

21849770880 is a `hidden beast` number, since 2 + 1 + 8 + 497 + 70 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87050755 + ... + 87051005.

It is an arithmetic number, because the mean of its divisors is an integer number (120294720).

Almost surely, 2^21849770880 is an apocalyptic number.

21849770880 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 21849770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193172480).

21849770880 is an abundant number, since it is smaller than the sum of its proper divisors (70536574080).

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

21849770880 is a wasteful number, since it uses less digits than its factorization.

21849770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 21849770880 in words is "twenty-one billion, eight hundred forty-nine million, seven hundred seventy thousand, eight hundred eighty".