32130587520 has 448 divisors, whose sum is σ = 121970143440. Its totient is φ = 8062156800.

The previous prime is 32130587519. The next prime is 32130587521. The reversal of 32130587520 is 2578503123.

It is a happy number.

32130587520 is a `hidden beast` number, since 3 + 21 + 3 + 0 + 587 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32130587519) and next prime (32130587521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130587521) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7929495 + ... + 7933545.

Almost surely, 2^32130587520 is an apocalyptic number.

32130587520 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 32130587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60985071720).

32130587520 is an abundant number, since it is smaller than the sum of its proper divisors (89839555920).

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

32130587520 is an equidigital number, since it uses as much as digits as its factorization.

32130587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 32130587520 in words is "thirty-two billion, one hundred thirty million, five hundred eighty-seven thousand, five hundred twenty".