21799910160 has 640 divisors, whose sum is σ = 89994240000. Its totient is φ = 4745115648.

The previous prime is 21799910159. The next prime is 21799910173. The reversal of 21799910160 is 6101999712.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36393541 + ... + 36394139.

It is an arithmetic number, because the mean of its divisors is an integer number (140616000).

Almost surely, 2^21799910160 is an apocalyptic number.

21799910160 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 21799910160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120000).

21799910160 is an abundant number, since it is smaller than the sum of its proper divisors (68194329840).

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

21799910160 is a wasteful number, since it uses less digits than its factorization.

21799910160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 21799910160 in words is "twenty-one billion, seven hundred ninety-nine million, nine hundred ten thousand, one hundred sixty".