32198987520 has 432 divisors, whose sum is σ = 127953745920. Its totient is φ = 7323181056.

The previous prime is 32198987497. The next prime is 32198987521. The reversal of 32198987520 is 2578989123.

32198987520 is a `hidden beast` number, since 3 + 21 + 9 + 8 + 98 + 7 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32198987521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18304401 + ... + 18306159.

Almost surely, 2^32198987520 is an apocalyptic number.

32198987520 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 32198987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63976872960).

32198987520 is an abundant number, since it is smaller than the sum of its proper divisors (95754758400).

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

32198987520 is a wasteful number, since it uses less digits than its factorization.

32198987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 32198987520 in words is "thirty-two billion, one hundred ninety-eight million, nine hundred eighty-seven thousand, five hundred twenty".