5753442120192 has 1120 divisors, whose sum is σ = 20693264296320. Its totient is φ = 1578032824320.

The previous prime is 5753442120191. The next prime is 5753442120199. The reversal of 5753442120192 is 2910212443575.

5753442120192 is a `hidden beast` number, since 5 + 7 + 5 + 3 + 442 + 12 + 0 + 192 = 666.

It is not an unprimeable number, because it can be changed into a prime (5753442120191) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1567266517 + ... + 1567270187.

It is an arithmetic number, because the mean of its divisors is an integer number (18476128836).

Almost surely, 2^{5753442120192} is an apocalyptic number.

5753442120192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5753442120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346632148160).

5753442120192 is an abundant number, since it is smaller than the sum of its proper divisors (14939822176128).

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

5753442120192 is a wasteful number, since it uses less digits than its factorization.

5753442120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5753442120192 in words is "five trillion, seven hundred fifty-three billion, four hundred forty-two million, one hundred twenty thousand, one hundred ninety-two".