25538107140 has 432 divisors, whose sum is σ = 100097544960. Its totient is φ = 5387316480.

The previous prime is 25538107103. The next prime is 25538107163. The reversal of 25538107140 is 4170183552.

25538107140 is a `hidden beast` number, since 2 + 5 + 538 + 10 + 71 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25538107095 and 25538107104.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4468885 + ... + 4474595.

It is an arithmetic number, because the mean of its divisors is an integer number (231707280).

Almost surely, 2^25538107140 is an apocalyptic number.

25538107140 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 25538107140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50048772480).

25538107140 is an abundant number, since it is smaller than the sum of its proper divisors (74559437820).

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

25538107140 is a wasteful number, since it uses less digits than its factorization.

25538107140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 25538107140 in words is "twenty-five billion, five hundred thirty-eight million, one hundred seven thousand, one hundred forty".