25670209680 has 240 divisors, whose sum is σ = 89348852736. Its totient is φ = 6597872640.

The previous prime is 25670209667. The next prime is 25670209709. The reversal of 25670209680 is 8690207652.

25670209680 is a `hidden beast` number, since 2 + 567 + 0 + 2 + 0 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5867974 + ... + 5872346.

Almost surely, 2^25670209680 is an apocalyptic number.

25670209680 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 25670209680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44674426368).

25670209680 is an abundant number, since it is smaller than the sum of its proper divisors (63678643056).

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

25670209680 is a wasteful number, since it uses less digits than its factorization.

25670209680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 25670209680 in words is "twenty-five billion, six hundred seventy million, two hundred nine thousand, six hundred eighty".