32005153200 has 240 divisors, whose sum is σ = 107186711040. Its totient is φ = 8147927040.

The previous prime is 32005153199. The next prime is 32005153211. The reversal of 32005153200 is 235150023.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22714096 + ... + 22715504.

It is an arithmetic number, because the mean of its divisors is an integer number (446611296).

Almost surely, 2^32005153200 is an apocalyptic number.

32005153200 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 32005153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53593355520).

32005153200 is an abundant number, since it is smaller than the sum of its proper divisors (75181557840).

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

32005153200 is a wasteful number, since it uses less digits than its factorization.

32005153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The spelling of 32005153200 in words is "thirty-two billion, five million, one hundred fifty-three thousand, two hundred".