5270688914400 has 1728 divisors, whose sum is σ = 24217644971520. Its totient is φ = 1048578048000.

The previous prime is 5270688914353. The next prime is 5270688914401. The reversal of 5270688914400 is 44198860725.

It is a happy number.

5270688914400 is a `hidden beast` number, since 5 + 2 + 70 + 6 + 88 + 91 + 4 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5270688914401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 817031175 + ... + 817037625.

It is an arithmetic number, because the mean of its divisors is an integer number (14014840840).

Almost surely, 2^{5270688914400} is an apocalyptic number.

5270688914400 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 5270688914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108822485760).

5270688914400 is an abundant number, since it is smaller than the sum of its proper divisors (18946956057120).

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

5270688914400 is a wasteful number, since it uses less digits than its factorization.

5270688914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5270688914400 in words is "five trillion, two hundred seventy billion, six hundred eighty-eight million, nine hundred fourteen thousand, four hundred".