22151350080 has 336 divisors, whose sum is σ = 79067948544. Its totient is φ = 5686087680.

The previous prime is 22151350063. The next prime is 22151350103. The reversal of 22151350080 is 8005315122.

It is a happy number.

22151350080 is a `hidden beast` number, since 2 + 2 + 151 + 3 + 500 + 8 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 20266014 + ... + 20267106.

Almost surely, 2^22151350080 is an apocalyptic number.

22151350080 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 22151350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39533974272).

22151350080 is an abundant number, since it is smaller than the sum of its proper divisors (56916598464).

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

22151350080 is a wasteful number, since it uses less digits than its factorization.

22151350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 22151350080 in words is "twenty-two billion, one hundred fifty-one million, three hundred fifty thousand, eighty".