25138262142 has 128 divisors (see below), whose sum is σ = 67249152000. Its totient is φ = 6950512800.

The previous prime is 25138262141. The next prime is 25138262147. The reversal of 25138262142 is 24126283152.

25138262142 is a `hidden beast` number, since 2 + 513 + 82 + 6 + 21 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25138262097 and 25138262106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25138262141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552292 + ... + 596072.

It is an arithmetic number, because the mean of its divisors is an integer number (525384000).

Almost surely, 2^25138262142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25138262142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33624576000).

25138262142 is an abundant number, since it is smaller than the sum of its proper divisors (42110889858).

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

25138262142 is a wasteful number, since it uses less digits than its factorization.

25138262142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43844 (or 43824 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 25138262142 in words is "twenty-five billion, one hundred thirty-eight million, two hundred sixty-two thousand, one hundred forty-two".