32521349952 has 672 divisors, whose sum is σ = 120284516352. Its totient is φ = 8172638208.

The previous prime is 32521349947. The next prime is 32521349977. The reversal of 32521349952 is 25994312523.

32521349952 is a `hidden beast` number, since 3 + 2 + 521 + 34 + 9 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 32521349898 and 32521349907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105932583 + ... + 105932889.

It is an arithmetic number, because the mean of its divisors is an integer number (178994816).

Almost surely, 2^32521349952 is an apocalyptic number.

32521349952 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 32521349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60142258176).

32521349952 is an abundant number, since it is smaller than the sum of its proper divisors (87763166400).

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

32521349952 is a wasteful number, since it uses less digits than its factorization.

32521349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 32521349952 in words is "thirty-two billion, five hundred twenty-one million, three hundred forty-nine thousand, nine hundred fifty-two".