25260824160 has 768 divisors, whose sum is σ = 105142302720. Its totient is φ = 5583790080.

The previous prime is 25260824153. The next prime is 25260824167. The reversal of 25260824160 is 6142806252.

It is a happy number.

25260824160 is a `hidden beast` number, since 2 + 5 + 2 + 608 + 2 + 41 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25260824153) and next prime (25260824167).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25260824167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63629082 + ... + 63629478.

It is an arithmetic number, because the mean of its divisors is an integer number (136904040).

Almost surely, 2^25260824160 is an apocalyptic number.

25260824160 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 25260824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52571151360).

25260824160 is an abundant number, since it is smaller than the sum of its proper divisors (79881478560).

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

25260824160 is a wasteful number, since it uses less digits than its factorization.

25260824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25260824160 in words is "twenty-five billion, two hundred sixty million, eight hundred twenty-four thousand, one hundred sixty".