25250883840 has 1728 divisors, whose sum is σ = 119005931520. Its totient is φ = 5016453120.

The previous prime is 25250883811. The next prime is 25250883841. The reversal of 25250883840 is 4838805252.

25250883840 is a `hidden beast` number, since 2 + 525 + 0 + 8 + 83 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25250883841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 682456302 + ... + 682456338.

Almost surely, 2^25250883840 is an apocalyptic number.

25250883840 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 25250883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59502965760).

25250883840 is an abundant number, since it is smaller than the sum of its proper divisors (93755047680).

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

25250883840 is a wasteful number, since it uses less digits than its factorization.

25250883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 25250883840 in words is "twenty-five billion, two hundred fifty million, eight hundred eighty-three thousand, eight hundred forty".