25142948900 has 72 divisors (see below), whose sum is σ = 57989830080. Its totient is φ = 9435277440.

The previous prime is 25142948869. The next prime is 25142948933. The reversal of 25142948900 is 984924152.

It is a super-2 number, since 2×25142948900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 131462 + ... + 259938.

Almost surely, 2^25142948900 is an apocalyptic number.

25142948900 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 25142948900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28994915040).

25142948900 is an abundant number, since it is smaller than the sum of its proper divisors (32846881180).

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

25142948900 is a wasteful number, since it uses less digits than its factorization.

25142948900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128613 (or 128606 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 25142948900 in words is "twenty-five billion, one hundred forty-two million, nine hundred forty-eight thousand, nine hundred".