5362882560 has 768 divisors, whose sum is σ = 23209804800. Its totient is φ = 1146617856.

The previous prime is 5362882549. The next prime is 5362882583. The reversal of 5362882560 is 652882635.

5362882560 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 8 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32901039 + ... + 32901201.

It is an arithmetic number, because the mean of its divisors is an integer number (30221100).

Almost surely, 2^5362882560 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 5362882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604902400).

5362882560 is an abundant number, since it is smaller than the sum of its proper divisors (17846922240).

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

5362882560 is a wasteful number, since it uses less digits than its factorization.

5362882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5362882560 is about 73231.7046094108. The cubic root of 5362882560 is about 1750.3816919813.

The spelling of 5362882560 in words is "five billion, three hundred sixty-two million, eight hundred eighty-two thousand, five hundred sixty".