25000065000042 has 256 divisors, whose sum is σ = 60216249139200. Its totient is φ = 6830233088000.

The previous prime is 25000064999971. The next prime is 25000065000077. The reversal of 25000065000042 is 24000056000052.

It is a junction number, because it is equal to n+sod(n) for n = 25000064999976 and 25000065000021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2684998567 + ... + 2685007877.

It is an arithmetic number, because the mean of its divisors is an integer number (235219723200).

Almost surely, 2^{25000065000042} is an apocalyptic number.

25000065000042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 5000006×5000007.

It is a practical number, because each smaller number is the sum of distinct divisors of 25000065000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30108124569600).

25000065000042 is an abundant number, since it is smaller than the sum of its proper divisors (35216184139158).

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

25000065000042 is a wasteful number, since it uses less digits than its factorization.

25000065000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013.

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 25000065000042 in words is "twenty-five trillion, sixty-five million, forty-two", and thus it is an aban number and an uban number.