32781581952 has 64 divisors (see below), whose sum is σ = 99515524800. Its totient is φ = 9366165504.

The previous prime is 32781581951. The next prime is 32781582007. The reversal of 32781581952 is 25918518723.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 32781581895 and 32781581904.

It is not an unprimeable number, because it can be changed into a prime (32781581951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6095077 + ... + 6100452.

It is an arithmetic number, because the mean of its divisors is an integer number (1554930075).

Almost surely, 2^32781581952 is an apocalyptic number.

32781581952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32781581952 is an abundant number, since it is smaller than the sum of its proper divisors (66733942848).

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

32781581952 is a wasteful number, since it uses less digits than its factorization.

32781581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12195553 (or 12195541 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 51.

The spelling of 32781581952 in words is "thirty-two billion, seven hundred eighty-one million, five hundred eighty-one thousand, nine hundred fifty-two".