25672459680 has 384 divisors, whose sum is σ = 104230748160. Its totient is φ = 5779952640.

The previous prime is 25672459619. The next prime is 25672459693. The reversal of 25672459680 is 8695427652.

25672459680 is a `hidden beast` number, since 2 + 567 + 24 + 59 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2019745 + ... + 2032415.

It is an arithmetic number, because the mean of its divisors is an integer number (271434240).

Almost surely, 2^25672459680 is an apocalyptic number.

25672459680 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 25672459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52115374080).

25672459680 is an abundant number, since it is smaller than the sum of its proper divisors (78558288480).

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

25672459680 is a wasteful number, since it uses less digits than its factorization.

25672459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 25672459680 in words is "twenty-five billion, six hundred seventy-two million, four hundred fifty-nine thousand, six hundred eighty".