32225819520 has 256 divisors, whose sum is σ = 104580175680. Its totient is φ = 8439398400.

The previous prime is 32225819467. The next prime is 32225819539. The reversal of 32225819520 is 2591852223.

It is a super-2 number, since 2×32225819520² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 26566434 + ... + 26567646.

Almost surely, 2^32225819520 is an apocalyptic number.

32225819520 is a gapful number since it is divisible by the number (30) 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 32225819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52290087840).

32225819520 is an abundant number, since it is smaller than the sum of its proper divisors (72354356160).

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

32225819520 is a wasteful number, since it uses less digits than its factorization.

32225819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 32225819520 in words is "thirty-two billion, two hundred twenty-five million, eight hundred nineteen thousand, five hundred twenty".