5742193191168 has 288 divisors, whose sum is σ = 18606626841600. Its totient is φ = 1535549349888.

The previous prime is 5742193191089. The next prime is 5742193191179. The reversal of 5742193191168 is 8611913912475.

It is a super-2 number, since 2×5742193191168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8139298 + ... + 8816606.

It is an arithmetic number, because the mean of its divisors is an integer number (64606343200).

Almost surely, 2^{5742193191168} 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 5742193191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303313420800).

5742193191168 is an abundant number, since it is smaller than the sum of its proper divisors (12864433650432).

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

5742193191168 is a wasteful number, since it uses less digits than its factorization.

5742193191168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677437 (or 677423 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The spelling of 5742193191168 in words is "five trillion, seven hundred forty-two billion, one hundred ninety-three million, one hundred ninety-one thousand, one hundred sixty-eight".