5280837609600 has 1152 divisors, whose sum is σ = 23079526030080. Its totient is φ = 1123327180800.

The previous prime is 5280837609559. The next prime is 5280837609617. The reversal of 5280837609600 is 69067380825.

It is a happy number.

5280837609600 is a `hidden beast` number, since 5 + 28 + 0 + 8 + 3 + 7 + 6 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171546210 + ... + 171576990.

It is an arithmetic number, because the mean of its divisors is an integer number (20034310790).

Almost surely, 2^{5280837609600} is an apocalyptic number.

5280837609600 is a gapful number since it is divisible by the number (50) 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 5280837609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539763015040).

5280837609600 is an abundant number, since it is smaller than the sum of its proper divisors (17798688420480).

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

5280837609600 is a wasteful number, since it uses less digits than its factorization.

5280837609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30878 (or 30858 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5280837609600 in words is "five trillion, two hundred eighty billion, eight hundred thirty-seven million, six hundred nine thousand, six hundred".