32880250529280 has 4480 divisors, whose sum is σ = 155890545795072. Its totient is φ = 6503473152000.

The previous prime is 32880250529257. The next prime is 32880250529351. The reversal of 32880250529280 is 8292505208823.

32880250529280 is a `hidden beast` number, since 3 + 28 + 8 + 0 + 250 + 5 + 292 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×32880250529280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 539020500450 + ... + 539020500510.

Almost surely, 2^{32880250529280} is an apocalyptic number.

32880250529280 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 32880250529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77945272897536).

32880250529280 is an abundant number, since it is smaller than the sum of its proper divisors (123010295265792).

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

32880250529280 is an frugal number, since it uses more digits than its factorization.

32880250529280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 32880250529280 in words is "thirty-two trillion, eight hundred eighty billion, two hundred fifty million, five hundred twenty-nine thousand, two hundred eighty".