5306006880 has 432 divisors, whose sum is σ = 19546122960. Its totient is φ = 1310128128.

The previous prime is 5306006863. The next prime is 5306006897. The reversal of 5306006880 is 886006035.

5306006880 is a `hidden beast` number, since 530 + 60 + 0 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5306006863) and next prime (5306006897).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30670474 + ... + 30670646.

It is an arithmetic number, because the mean of its divisors is an integer number (45245655).

Almost surely, 2^5306006880 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 5306006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9773061480).

5306006880 is an abundant number, since it is smaller than the sum of its proper divisors (14240116080).

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

5306006880 is a wasteful number, since it uses less digits than its factorization.

5306006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5306006880 is about 72842.3426311922. The cubic root of 5306006880 is about 1744.1718365880.

The spelling of 5306006880 in words is "five billion, three hundred six million, six thousand, eight hundred eighty".