32540010048 has 336 divisors, whose sum is σ = 118757882880. Its totient is φ = 8285663232.

The previous prime is 32540010043. The next prime is 32540010053. The reversal of 32540010048 is 84001004523.

It is an interprime number because it is at equal distance from previous prime (32540010043) and next prime (32540010053).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (32540010043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509361 + ... + 1530767.

It is an arithmetic number, because the mean of its divisors is an integer number (353446080).

Almost surely, 2^32540010048 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 32540010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59378941440).

32540010048 is an abundant number, since it is smaller than the sum of its proper divisors (86217872832).

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

32540010048 is a wasteful number, since it uses less digits than its factorization.

32540010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21474 (or 21461 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 32540010048 in words is "thirty-two billion, five hundred forty million, ten thousand, forty-eight".