20242019745792 has 1152 divisors, whose sum is σ = 66005111390400. Its totient is φ = 5971246055424.

The previous prime is 20242019745769. The next prime is 20242019745817. The reversal of 20242019745792 is 29754791024202.

20242019745792 is a `hidden beast` number, since 2 + 0 + 2 + 420 + 1 + 97 + 45 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208680615888 + ... + 208680615984.

Almost surely, 2^{20242019745792} 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 20242019745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33002555695200).

20242019745792 is an abundant number, since it is smaller than the sum of its proper divisors (45763091644608).

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

20242019745792 is an equidigital number, since it uses as much as digits as its factorization.

20242019745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 20242019745792 in words is "twenty trillion, two hundred forty-two billion, nineteen million, seven hundred forty-five thousand, seven hundred ninety-two".