5307554723328 has 1280 divisors, whose sum is σ = 19183652167680. Its totient is φ = 1426902220800.

The previous prime is 5307554723323. The next prime is 5307554723333. The reversal of 5307554723328 is 8233274557035.

5307554723328 is a `hidden beast` number, since 5 + 3 + 0 + 75 + 547 + 2 + 3 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (5307554723323) and next prime (5307554723333).

It is a super-3 number, since 3×5307554723328³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307554723323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15749420376 + ... + 15749420712.

It is an arithmetic number, because the mean of its divisors is an integer number (14987228256).

Almost surely, 2^{5307554723328} 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 5307554723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591826083840).

5307554723328 is an abundant number, since it is smaller than the sum of its proper divisors (13876097444352).

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

5307554723328 is a wasteful number, since it uses less digits than its factorization.

5307554723328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 5307554723328 in words is "five trillion, three hundred seven billion, five hundred fifty-four million, seven hundred twenty-three thousand, three hundred twenty-eight".