21918056160 has 1152 divisors, whose sum is σ = 97219906560. Its totient is φ = 4059095040.

The previous prime is 21918056129. The next prime is 21918056197. The reversal of 21918056160 is 6165081912.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 755795026 + ... + 755795054.

It is an arithmetic number, because the mean of its divisors is an integer number (84392280).

Almost surely, 2^21918056160 is an apocalyptic number.

21918056160 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 21918056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48609953280).

21918056160 is an abundant number, since it is smaller than the sum of its proper divisors (75301850400).

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

21918056160 is a wasteful number, since it uses less digits than its factorization.

21918056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 21918056160 in words is "twenty-one billion, nine hundred eighteen million, fifty-six thousand, one hundred sixty".