32530248000 has 560 divisors, whose sum is σ = 127466683344. Its totient is φ = 8161689600.

The previous prime is 32530247999. The next prime is 32530248001. The reversal of 32530248000 is 84203523.

32530248000 is a `hidden beast` number, since 32 + 530 + 24 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32530247999) and next prime (32530248001).

It can be written as a sum of positive squares in 8 ways, for example, as 2620620864 + 29909627136 = 51192^2 + 172944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32530248001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11014524 + ... + 11017476.

Almost surely, 2^32530248000 is an apocalyptic number.

32530248000 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 32530248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63733341672).

32530248000 is an abundant number, since it is smaller than the sum of its proper divisors (94936435344).

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

32530248000 is a wasteful number, since it uses less digits than its factorization.

32530248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 32530248000 in words is "thirty-two billion, five hundred thirty million, two hundred forty-eight thousand".