25255296890880 has 1536 divisors, whose sum is σ = 100323116974080. Its totient is φ = 5297374494720.

The previous prime is 25255296890809. The next prime is 25255296890897. The reversal of 25255296890880 is 8809869255252.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19472086392 + ... + 19472087688.

It is an arithmetic number, because the mean of its divisors is an integer number (65314529280).

Almost surely, 2^{25255296890880} is an apocalyptic number.

25255296890880 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 25255296890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50161558487040).

25255296890880 is an abundant number, since it is smaller than the sum of its proper divisors (75067820083200).

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

25255296890880 is a wasteful number, since it uses less digits than its factorization.

25255296890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 69.

The spelling of 25255296890880 in words is "twenty-five trillion, two hundred fifty-five billion, two hundred ninety-six million, eight hundred ninety thousand, eight hundred eighty".