32093073352896 has 448 divisors, whose sum is σ = 95394205025280. Its totient is φ = 9472416808960.

The previous prime is 32093073352883. The next prime is 32093073352931. The reversal of 32093073352896 is 69825337039023.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3442350091 + ... + 3442359413.

It is an arithmetic number, because the mean of its divisors is an integer number (212933493360).

Almost surely, 2^{32093073352896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32093073352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47697102512640).

32093073352896 is an abundant number, since it is smaller than the sum of its proper divisors (63301131672384).

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

32093073352896 is a wasteful number, since it uses less digits than its factorization.

32093073352896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 60.

The spelling of 32093073352896 in words is "thirty-two trillion, ninety-three billion, seventy-three million, three hundred fifty-two thousand, eight hundred ninety-six".