5667850506240 has 1872 divisors, whose sum is σ = 23099321411712. Its totient is φ = 1329949310976.

The previous prime is 5667850506233. The next prime is 5667850506257. The reversal of 5667850506240 is 426050587665.

5667850506240 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 8 + 5 + 0 + 5 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×5667850506240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 19344199534 + ... + 19344199826.

It is an arithmetic number, because the mean of its divisors is an integer number (12339381096).

Almost surely, 2^{5667850506240} 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 5667850506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549660705856).

5667850506240 is an abundant number, since it is smaller than the sum of its proper divisors (17431470905472).

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

5667850506240 is a wasteful number, since it uses less digits than its factorization.

5667850506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5667850506240 in words is "five trillion, six hundred sixty-seven billion, eight hundred fifty million, five hundred six thousand, two hundred forty".