5336272293120 has 576 divisors, whose sum is σ = 19967754240000. Its totient is φ = 1345761091584.

The previous prime is 5336272293109. The next prime is 5336272293133. The reversal of 5336272293120 is 213922726335.

5336272293120 is a `hidden beast` number, since 5 + 3 + 3 + 627 + 2 + 2 + 9 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393320577 + ... + 393334143.

It is an arithmetic number, because the mean of its divisors is an integer number (34666240000).

Almost surely, 2^{5336272293120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5336272293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9983877120000).

5336272293120 is an abundant number, since it is smaller than the sum of its proper divisors (14631481946880).

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

5336272293120 is a wasteful number, since it uses less digits than its factorization.

5336272293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14215 (or 14195 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 5336272293120 in words is "five trillion, three hundred thirty-six billion, two hundred seventy-two million, two hundred ninety-three thousand, one hundred twenty".