25709146848 has 864 divisors, whose sum is σ = 101513260800. Its totient is φ = 6179120640.

The previous prime is 25709146843. The next prime is 25709146873. The reversal of 25709146848 is 84864190752.

It is a happy number.

25709146848 is a `hidden beast` number, since 2 + 57 + 0 + 91 + 468 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 25709146794 and 25709146803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25709146843) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597887115 + ... + 597887157.

It is an arithmetic number, because the mean of its divisors is an integer number (117492200).

Almost surely, 2^25709146848 is an apocalyptic number.

25709146848 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 25709146848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50756630400).

25709146848 is an abundant number, since it is smaller than the sum of its proper divisors (75804113952).

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

25709146848 is a wasteful number, since it uses less digits than its factorization.

25709146848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 25709146848 in words is "twenty-five billion, seven hundred nine million, one hundred forty-six thousand, eight hundred forty-eight".