32079854165040 has 960 divisors, whose sum is σ = 125298980352000. Its totient is φ = 7281400627200.

The previous prime is 32079854164979. The next prime is 32079854165059. The reversal of 32079854165040 is 4056145897023.

It is a happy number.

32079854165040 is a `hidden beast` number, since 3 + 2 + 0 + 7 + 9 + 8 + 541 + 6 + 50 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1572608761 + ... + 1572629159.

It is an arithmetic number, because the mean of its divisors is an integer number (130519771200).

It is a 1-persistent number, because it is pandigital, but 2⋅32079854165040 = 64159708330080 is not.

Almost surely, 2^{32079854165040} is an apocalyptic number.

32079854165040 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 32079854165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62649490176000).

32079854165040 is an abundant number, since it is smaller than the sum of its proper divisors (93219126186960).

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

32079854165040 is a wasteful number, since it uses less digits than its factorization.

32079854165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666 (or 20657 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 32079854165040 in words is "thirty-two trillion, seventy-nine billion, eight hundred fifty-four million, one hundred sixty-five thousand, forty".