25949547883008 has 240 divisors, whose sum is σ = 76604231658240. Its totient is φ = 8452679589888.

The previous prime is 25949547882953. The next prime is 25949547883009. The reversal of 25949547883008 is 80038874594952.

25949547883008 is a `hidden beast` number, since 2 + 5 + 9 + 49 + 547 + 8 + 8 + 30 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25949547883009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140032078 + ... + 140217266.

It is an arithmetic number, because the mean of its divisors is an integer number (319184298576).

Almost surely, 2^{25949547883008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25949547883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38302115829120).

25949547883008 is an abundant number, since it is smaller than the sum of its proper divisors (50654683775232).

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

25949547883008 is a wasteful number, since it uses less digits than its factorization.

25949547883008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185907 (or 185888 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 25949547883008 in words is "twenty-five trillion, nine hundred forty-nine billion, five hundred forty-seven million, eight hundred eighty-three thousand, eight".