5288408004600 has 2304 divisors, whose sum is σ = 23585690419200. Its totient is φ = 1032652800000.

The previous prime is 5288408004571. The next prime is 5288408004601. The reversal of 5288408004600 is 64008048825.

5288408004600 is a `hidden beast` number, since 528 + 8 + 4 + 0 + 80 + 0 + 46 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288408004601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21069354475 + ... + 21069354725.

It is an arithmetic number, because the mean of its divisors is an integer number (10236844800).

Almost surely, 2^{5288408004600} is an apocalyptic number.

5288408004600 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 5288408004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792845209600).

5288408004600 is an abundant number, since it is smaller than the sum of its proper divisors (18297282414600).

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

5288408004600 is a wasteful number, since it uses less digits than its factorization.

5288408004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 5288408004600 in words is "five trillion, two hundred eighty-eight billion, four hundred eight million, four thousand, six hundred".