5648086101240 has 512 divisors, whose sum is σ = 20815879219200. Its totient is φ = 1367664652800.

The previous prime is 5648086101199. The next prime is 5648086101253. The reversal of 5648086101240 is 421016808465.

It is a happy number.

5648086101240 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 0 + 8 + 610 + 1 + 24 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 992107834 + ... + 992113526.

It is an arithmetic number, because the mean of its divisors is an integer number (40656014100).

Almost surely, 2^{5648086101240} 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 5648086101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407939609600).

5648086101240 is an abundant number, since it is smaller than the sum of its proper divisors (15167793117960).

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

5648086101240 is a wasteful number, since it uses less digits than its factorization.

5648086101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5648086101240 in words is "five trillion, six hundred forty-eight billion, eighty-six million, one hundred one thousand, two hundred forty".