5273791027200 has 2880 divisors, whose sum is σ = 22649750323200. Its totient is φ = 1203948748800.

The previous prime is 5273791027147. The next prime is 5273791027279. The reversal of 5273791027200 is 27201973725.

5273791027200 is a `hidden beast` number, since 5 + 2 + 7 + 379 + 1 + 0 + 272 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5273791027200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 41525913537 + ... + 41525913663.

It is an arithmetic number, because the mean of its divisors is an integer number (7864496640).

Almost surely, 2^{5273791027200} is an apocalyptic number.

5273791027200 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 5273791027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324875161600).

5273791027200 is an abundant number, since it is smaller than the sum of its proper divisors (17375959296000).

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

5273791027200 is a wasteful number, since it uses less digits than its factorization.

5273791027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 5273791027200 in words is "five trillion, two hundred seventy-three billion, seven hundred ninety-one million, twenty-seven thousand, two hundred".