25381148688 has 160 divisors (see below), whose sum is σ = 83861299200. Its totient is φ = 7199466624.

The previous prime is 25381148659. The next prime is 25381148707. The reversal of 25381148688 is 88684118352.

25381148688 is a `hidden beast` number, since 2 + 5 + 3 + 81 + 1 + 486 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390145 + ... + 450527.

It is an arithmetic number, because the mean of its divisors is an integer number (524133120).

Almost surely, 2^25381148688 is an apocalyptic number.

25381148688 is a gapful number since it is divisible by the number (28) 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 25381148688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41930649600).

25381148688 is an abundant number, since it is smaller than the sum of its proper divisors (58480150512).

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

25381148688 is a wasteful number, since it uses less digits than its factorization.

25381148688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60546 (or 60534 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 25381148688 in words is "twenty-five billion, three hundred eighty-one million, one hundred forty-eight thousand, six hundred eighty-eight".