25458686640 has 160 divisors (see below), whose sum is σ = 89730685440. Its totient is φ = 6631075584.

The previous prime is 25458686633. The next prime is 25458686653. The reversal of 25458686640 is 4668685452.

25458686640 is a `hidden beast` number, since 2 + 54 + 586 + 8 + 6 + 6 + 4 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44172 + ... + 229931.

It is an arithmetic number, because the mean of its divisors is an integer number (560816784).

Almost surely, 2^25458686640 is an apocalyptic number.

25458686640 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 25458686640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44865342720).

25458686640 is an abundant number, since it is smaller than the sum of its proper divisors (64271998800).

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

25458686640 is a wasteful number, since it uses less digits than its factorization.

25458686640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274168 (or 274156 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 25458686640 in words is "twenty-five billion, four hundred fifty-eight million, six hundred eighty-six thousand, six hundred forty".