25742123842020 has 192 divisors, whose sum is σ = 76034968289280. Its totient is φ = 6494451955200.

The previous prime is 25742123842013. The next prime is 25742123842117. The reversal of 25742123842020 is 2024832124752.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85739965 + ... + 86039675.

It is an arithmetic number, because the mean of its divisors is an integer number (396015459840).

Almost surely, 2^{25742123842020} is an apocalyptic number.

25742123842020 is a gapful number since it is divisible by the number (20) 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 25742123842020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38017484144640).

25742123842020 is an abundant number, since it is smaller than the sum of its proper divisors (50292844447260).

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

25742123842020 is a wasteful number, since it uses less digits than its factorization.

25742123842020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300426 (or 300424 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

Adding to 25742123842020 its reverse (2024832124752), we get a palindrome (27766955966772).

The spelling of 25742123842020 in words is "twenty-five trillion, seven hundred forty-two billion, one hundred twenty-three million, eight hundred forty-two thousand, twenty".