32253541320 has 1024 divisors, whose sum is σ = 137952460800. Its totient is φ = 5816401920.

The previous prime is 32253541253. The next prime is 32253541339. The reversal of 32253541320 is 2314535223.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 163723462 + ... + 163723658.

It is an arithmetic number, because the mean of its divisors is an integer number (134719200).

Almost surely, 2^32253541320 is an apocalyptic number.

32253541320 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 32253541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68976230400).

32253541320 is an abundant number, since it is smaller than the sum of its proper divisors (105698919480).

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

32253541320 is a wasteful number, since it uses less digits than its factorization.

32253541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 32253541320 in words is "thirty-two billion, two hundred fifty-three million, five hundred forty-one thousand, three hundred twenty".