5365201121280 has 2912 divisors, whose sum is σ = 25990229099520. Its totient is φ = 1026222981120.

The previous prime is 5365201121263. The next prime is 5365201121447. The reversal of 5365201121280 is 821211025635.

5365201121280 is a `hidden beast` number, since 5 + 3 + 6 + 520 + 1 + 1 + 2 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14944849741 + ... + 14944850099.

Almost surely, 2^{5365201121280} 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 5365201121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995114549760).

5365201121280 is an abundant number, since it is smaller than the sum of its proper divisors (20625027978240).

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

5365201121280 is a wasteful number, since it uses less digits than its factorization.

5365201121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 5365201121280 in words is "five trillion, three hundred sixty-five billion, two hundred one million, one hundred twenty-one thousand, two hundred eighty".