32258054688 has 96 divisors (see below), whose sum is σ = 89681760000. Its totient is φ = 10124165376.

The previous prime is 32258054681. The next prime is 32258054723. The reversal of 32258054688 is 88645085223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 32258054688.

It is not an unprimeable number, because it can be changed into a prime (32258054681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243063 + ... + 351561.

It is an arithmetic number, because the mean of its divisors is an integer number (934185000).

Almost surely, 2^32258054688 is an apocalyptic number.

32258054688 is a gapful number since it is divisible by the number (38) 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 32258054688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44840880000).

32258054688 is an abundant number, since it is smaller than the sum of its proper divisors (57423705312).

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

32258054688 is a wasteful number, since it uses less digits than its factorization.

32258054688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108694 (or 108686 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 32258054688 in words is "thirty-two billion, two hundred fifty-eight million, fifty-four thousand, six hundred eighty-eight".