5273738668800 has 2160 divisors, whose sum is σ = 23450114096640. Its totient is φ = 1143326638080.

The previous prime is 5273738668733. The next prime is 5273738668837. The reversal of 5273738668800 is 88668373725.

It is a happy number.

5273738668800 is a `hidden beast` number, since 52 + 7 + 373 + 86 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14939769424 + ... + 14939769776.

It is an arithmetic number, because the mean of its divisors is an integer number (10856534304).

Almost surely, 2^{5273738668800} is an apocalyptic number.

5273738668800 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 5273738668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725057048320).

5273738668800 is an abundant number, since it is smaller than the sum of its proper divisors (18176375427840).

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

5273738668800 is a wasteful number, since it uses less digits than its factorization.

5273738668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 5273738668800 in words is "five trillion, two hundred seventy-three billion, seven hundred thirty-eight million, six hundred sixty-eight thousand, eight hundred".