5269753036800 has 1728 divisors, whose sum is σ = 22634391306240. Its totient is φ = 1177194332160.

The previous prime is 5269753036799. The next prime is 5269753036813. The reversal of 5269753036800 is 86303579625.

It is a happy number.

5269753036800 is a `hidden beast` number, since 5 + 26 + 9 + 7 + 530 + 3 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41494118337 + ... + 41494118463.

It is an arithmetic number, because the mean of its divisors is an integer number (13098606080).

Almost surely, 2^{5269753036800} is an apocalyptic number.

5269753036800 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 5269753036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317195653120).

5269753036800 is an abundant number, since it is smaller than the sum of its proper divisors (17364638269440).

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

5269753036800 is an equidigital number, since it uses as much as digits as its factorization.

5269753036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5269753036800 in words is "five trillion, two hundred sixty-nine billion, seven hundred fifty-three million, thirty-six thousand, eight hundred".