5505138432 has 360 divisors, whose sum is σ = 17584736400. Its totient is φ = 1707982848.

The previous prime is 5505138403. The next prime is 5505138437. The reversal of 5505138432 is 2348315055.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505138437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35064498 + ... + 35064654.

It is an arithmetic number, because the mean of its divisors is an integer number (48846490).

Almost surely, 2^5505138432 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 5505138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792368200).

5505138432 is an abundant number, since it is smaller than the sum of its proper divisors (12079597968).

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

5505138432 is a wasteful number, since it uses less digits than its factorization.

5505138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5505138432 is about 74196.6200847451. The cubic root of 5505138432 is about 1765.7237073141.

The spelling of 5505138432 in words is "five billion, five hundred five million, one hundred thirty-eight thousand, four hundred thirty-two".