32493855080960 has 480 divisors, whose sum is σ = 96820540945920. Its totient is φ = 10240513081344.

The previous prime is 32493855080933. The next prime is 32493855080971. The reversal of 32493855080960 is 6908055839423.

It is a junction number, because it is equal to n+sod(n) for n = 32493855080893 and 32493855080902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723784274 + ... + 723829166.

It is an arithmetic number, because the mean of its divisors is an integer number (201709460304).

Almost surely, 2^{32493855080960} 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 32493855080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48410270472960).

32493855080960 is an abundant number, since it is smaller than the sum of its proper divisors (64326685864960).

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

32493855080960 is a wasteful number, since it uses less digits than its factorization.

32493855080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45188 (or 45159 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 62.

The spelling of 32493855080960 in words is "thirty-two trillion, four hundred ninety-three billion, eight hundred fifty-five million, eighty thousand, nine hundred sixty".