5745257950068 has 1152 divisors, whose sum is σ = 21441505075200. Its totient is φ = 1292089024512.

The previous prime is 5745257950067. The next prime is 5745257950121. The reversal of 5745257950068 is 8600597525475.

5745257950068 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 2 + 579 + 50 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5745257949987 and 5745257950014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5745257950067) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 949155730 + ... + 949161782.

It is an arithmetic number, because the mean of its divisors is an integer number (18612417600).

Almost surely, 2^{5745257950068} 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 5745257950068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720752537600).

5745257950068 is an abundant number, since it is smaller than the sum of its proper divisors (15696247125132).

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

5745257950068 is a wasteful number, since it uses less digits than its factorization.

5745257950068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 5745257950068 in words is "five trillion, seven hundred forty-five billion, two hundred fifty-seven million, nine hundred fifty thousand, sixty-eight".