21252226080 has 384 divisors, whose sum is σ = 71066419200. Its totient is φ = 5331456000.

The previous prime is 21252226063. The next prime is 21252226109. The reversal of 21252226080 is 8062225212.

It is a super-2 number, since 2×21252226080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118727431 + ... + 118727609.

It is an arithmetic number, because the mean of its divisors is an integer number (185068800).

Almost surely, 2^21252226080 is an apocalyptic number.

21252226080 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 21252226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35533209600).

21252226080 is an abundant number, since it is smaller than the sum of its proper divisors (49814193120).

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

21252226080 is a wasteful number, since it uses less digits than its factorization.

21252226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 21252226080 in words is "twenty-one billion, two hundred fifty-two million, two hundred twenty-six thousand, eighty".