32752541088 has 432 divisors, whose sum is σ = 105601860000. Its totient is φ = 9599606784.

The previous prime is 32752541053. The next prime is 32752541089. The reversal of 32752541088 is 88014525723.

32752541088 is a `hidden beast` number, since 3 + 2 + 7 + 525 + 41 + 0 + 88 = 666.

It is a super-2 number, since 2×32752541088² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32752541089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219815638 + ... + 219815786.

It is an arithmetic number, because the mean of its divisors is an integer number (244448750).

Almost surely, 2^32752541088 is an apocalyptic number.

32752541088 is a gapful number since it is divisible by the number (38) 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 32752541088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52800930000).

32752541088 is an abundant number, since it is smaller than the sum of its proper divisors (72849318912).

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

32752541088 is a wasteful number, since it uses less digits than its factorization.

32752541088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 32752541088 in words is "thirty-two billion, seven hundred fifty-two million, five hundred forty-one thousand, eighty-eight".