25142110000 has 200 divisors, whose sum is σ = 69965528864. Its totient is φ = 8570880000.

The previous prime is 25142109997. The next prime is 25142110001. The reversal of 25142110000 is 1124152.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (25142110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13509070 + ... + 13510930.

Almost surely, 2^25142110000 is an apocalyptic number.

25142110000 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 25142110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34982764432).

25142110000 is an abundant number, since it is smaller than the sum of its proper divisors (44823418864).

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

25142110000 is a wasteful number, since it uses less digits than its factorization.

25142110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 25142110000 its reverse (1124152), we get a palindrome (25143234152).

The spelling of 25142110000 in words is "twenty-five billion, one hundred forty-two million, one hundred ten thousand".