5658723066240 has 384 divisors, whose sum is σ = 20721243834720. Its totient is φ = 1418063708160.

The previous prime is 5658723066239. The next prime is 5658723066247. The reversal of 5658723066240 is 426603278565.

5658723066240 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 7 + 2 + 3 + 0 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5658723066240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5658723066247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64681407 + ... + 64768833.

Almost surely, 2^{5658723066240} 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 5658723066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360621917360).

5658723066240 is an abundant number, since it is smaller than the sum of its proper divisors (15062520768480).

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

5658723066240 is a wasteful number, since it uses less digits than its factorization.

5658723066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88130 (or 88115 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5658723066240 in words is "five trillion, six hundred fifty-eight billion, seven hundred twenty-three million, sixty-six thousand, two hundred forty".