32516888040 has 1152 divisors, whose sum is σ = 147891744000. Its totient is φ = 6103351296.

The previous prime is 32516888009. The next prime is 32516888083. The reversal of 32516888040 is 4088861523.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74070141 + ... + 74070579.

It is an arithmetic number, because the mean of its divisors is an integer number (128378250).

Almost surely, 2^32516888040 is an apocalyptic number.

32516888040 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 32516888040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73945872000).

32516888040 is an abundant number, since it is smaller than the sum of its proper divisors (115374855960).

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

32516888040 is a wasteful number, since it uses less digits than its factorization.

32516888040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 32516888040 in words is "thirty-two billion, five hundred sixteen million, eight hundred eighty-eight thousand, forty".