5326382880 has 768 divisors, whose sum is σ = 24324572160. Its totient is φ = 1056374784.

The previous prime is 5326382861. The next prime is 5326382983. The reversal of 5326382880 is 882836235.

5326382880 is a `hidden beast` number, since 5 + 3 + 2 + 638 + 2 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×5326382880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682642 + ... + 6683438.

It is an arithmetic number, because the mean of its divisors is an integer number (31672620).

Almost surely, 2^5326382880 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 5326382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162286080).

5326382880 is an abundant number, since it is smaller than the sum of its proper divisors (18998189280).

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

5326382880 is a wasteful number, since it uses less digits than its factorization.

5326382880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5326382880 is about 72982.0723191662. The cubic root of 5326382880 is about 1746.4016270019.

The spelling of 5326382880 in words is "five billion, three hundred twenty-six million, three hundred eighty-two thousand, eight hundred eighty".