5531435058240 has 2688 divisors, whose sum is σ = 25967277504000. Its totient is φ = 1102114750464.

The previous prime is 5531435058239. The next prime is 5531435058269. The reversal of 5531435058240 is 428505341355.

It is a happy number.

5531435058240 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 4 + 350 + 58 + 240 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17672316324 + ... + 17672316636.

It is an arithmetic number, because the mean of its divisors is an integer number (9660445500).

Almost surely, 2^{5531435058240} 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 5531435058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983638752000).

5531435058240 is an abundant number, since it is smaller than the sum of its proper divisors (20435842445760).

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

5531435058240 is a wasteful number, since it uses less digits than its factorization.

5531435058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 5531435058240 in words is "five trillion, five hundred thirty-one billion, four hundred thirty-five million, fifty-eight thousand, two hundred forty".