25259485979520 has 480 divisors, whose sum is σ = 97678920782520. Its totient is φ = 6217717469184.

The previous prime is 25259485979467. The next prime is 25259485979569. The reversal of 25259485979520 is 2597958495252.

25259485979520 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 9 + 4 + 8 + 5 + 97 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7319367 + ... + 10202553.

Almost surely, 2^{25259485979520} is an apocalyptic number.

25259485979520 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 25259485979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48839460391260).

25259485979520 is an abundant number, since it is smaller than the sum of its proper divisors (72419434803000).

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

25259485979520 is a wasteful number, since it uses less digits than its factorization.

25259485979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883244 (or 2883210 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 25259485979520 in words is "twenty-five trillion, two hundred fifty-nine billion, four hundred eighty-five million, nine hundred seventy-nine thousand, five hundred twenty".