5253310909440 has 1760 divisors, whose sum is σ = 21443527784448. Its totient is φ = 1228433817600.

The previous prime is 5253310909433. The next prime is 5253310909529. The reversal of 5253310909440 is 449090133525.

5253310909440 is a `hidden beast` number, since 5 + 2 + 533 + 109 + 0 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×5253310909440² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17111761767 + ... + 17111762073.

Almost surely, 2^{5253310909440} 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 5253310909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10721763892224).

5253310909440 is an abundant number, since it is smaller than the sum of its proper divisors (16190216875008).

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

5253310909440 is a wasteful number, since it uses less digits than its factorization.

5253310909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5253310909440 in words is "five trillion, two hundred fifty-three billion, three hundred ten million, nine hundred nine thousand, four hundred forty".