32013205488 has 240 divisors, whose sum is σ = 106203202560. Its totient is φ = 8893670400.

The previous prime is 32013205481. The next prime is 32013205489. The reversal of 32013205488 is 88450231023.

32013205488 is a `hidden beast` number, since 3 + 201 + 320 + 54 + 88 = 666.

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 (32013205481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915820 + ... + 950132.

It is an arithmetic number, because the mean of its divisors is an integer number (442513344).

Almost surely, 2^32013205488 is an apocalyptic number.

32013205488 is a gapful number since it is divisible by the number (38) 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 32013205488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53101601280).

32013205488 is an abundant number, since it is smaller than the sum of its proper divisors (74189997072).

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

32013205488 is a wasteful number, since it uses less digits than its factorization.

32013205488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34388 (or 34379 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 32013205488 in words is "thirty-two billion, thirteen million, two hundred five thousand, four hundred eighty-eight".