5288651692800 has 1728 divisors, whose sum is σ = 21818303539200. Its totient is φ = 1123685498880.

The previous prime is 5288651692789. The next prime is 5288651692829. The reversal of 5288651692800 is 82961568825.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10859654157 + ... + 10859654643.

Almost surely, 2^{5288651692800} is an apocalyptic number.

5288651692800 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 5288651692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909151769600).

5288651692800 is an abundant number, since it is smaller than the sum of its proper divisors (16529651846400).

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

5288651692800 is a wasteful number, since it uses less digits than its factorization.

5288651692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 5288651692800 in words is "five trillion, two hundred eighty-eight billion, six hundred fifty-one million, six hundred ninety-two thousand, eight hundred".