32427263407552 has 112 divisors (see below), whose sum is σ = 70053326422912. Its totient is φ = 14804101831680.

The previous prime is 32427263407529. The next prime is 32427263407571. The reversal of 32427263407552 is 25570436272423.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 32427263407552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28048363 + ... + 29181589.

It is an arithmetic number, because the mean of its divisors is an integer number (625476128776).

Almost surely, 2^{32427263407552} is an apocalyptic number.

32427263407552 is a gapful number since it is divisible by the number (32) 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 32427263407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35026663211456).

32427263407552 is an abundant number, since it is smaller than the sum of its proper divisors (37626063015360).

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

32427263407552 is a wasteful number, since it uses less digits than its factorization.

32427263407552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133626 (or 1133616 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 52.

Adding to 32427263407552 its reverse (25570436272423), we get a palindrome (57997699679975).

The spelling of 32427263407552 in words is "thirty-two trillion, four hundred twenty-seven billion, two hundred sixty-three million, four hundred seven thousand, five hundred fifty-two".