25261380890280 has 192 divisors, whose sum is σ = 85226854527360. Its totient is φ = 6729512825088.

The previous prime is 25261380890267. The next prime is 25261380890309. The reversal of 25261380890280 is 8209808316252.

It is a happy number.

25261380890280 is a `hidden beast` number, since 2 + 52 + 61 + 380 + 89 + 0 + 2 + 80 = 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 47 ways as a sum of consecutive naturals, for example, 8232834 + ... + 10876686.

It is an arithmetic number, because the mean of its divisors is an integer number (443889867330).

Almost surely, 2^{25261380890280} is an apocalyptic number.

25261380890280 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 25261380890280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42613427263680).

25261380890280 is an abundant number, since it is smaller than the sum of its proper divisors (59965473637080).

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

25261380890280 is a wasteful number, since it uses less digits than its factorization.

25261380890280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644862 (or 2644846 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 25261380890280 in words is "twenty-five trillion, two hundred sixty-one billion, three hundred eighty million, eight hundred ninety thousand, two hundred eighty".