5349528576 has 352 divisors, whose sum is σ = 18330639360. Its totient is φ = 1509580800.

The previous prime is 5349528571. The next prime is 5349528589. The reversal of 5349528576 is 6758259435.

5349528576 is a `hidden beast` number, since 5 + 3 + 49 + 5 + 28 + 576 = 666.

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

Its product of digits (9072000) is a multiple of the sum of its prime factors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349528571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25353111 + ... + 25353321.

It is an arithmetic number, because the mean of its divisors is an integer number (52075680).

Almost surely, 2^5349528576 is an apocalyptic number.

5349528576 is a gapful number since it is divisible by the number (56) 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 5349528576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165319680).

5349528576 is an abundant number, since it is smaller than the sum of its proper divisors (12981110784).

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

5349528576 is a wasteful number, since it uses less digits than its factorization.

5349528576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 5349528576 is about 73140.4715325243. The cubic root of 5349528576 is about 1748.9276233771.

The spelling of 5349528576 in words is "five billion, three hundred forty-nine million, five hundred twenty-eight thousand, five hundred seventy-six".