32252785152 has 640 divisors, whose sum is σ = 112852776960. Its totient is φ = 7962624000.

The previous prime is 32252785141. The next prime is 32252785217. The reversal of 32252785152 is 25158725223.

It is a super-2 number, since 2×32252785152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (336000) is a multiple of the sum of its prime divisors (336).

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 63 ways as a sum of consecutive naturals, for example, 128497027 + ... + 128497277.

It is an arithmetic number, because the mean of its divisors is an integer number (176332464).

Almost surely, 2^32252785152 is an apocalyptic number.

32252785152 is a gapful number since it is divisible by the number (32) 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 32252785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56426388480).

32252785152 is an abundant number, since it is smaller than the sum of its proper divisors (80599991808).

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

32252785152 is a wasteful number, since it uses less digits than its factorization.

32252785152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The spelling of 32252785152 in words is "thirty-two billion, two hundred fifty-two million, seven hundred eighty-five thousand, one hundred fifty-two".