25928360640 has 1344 divisors, whose sum is σ = 119290429440. Its totient is φ = 5016453120.

The previous prime is 25928360597. The next prime is 25928360657. The reversal of 25928360640 is 4606382952.

25928360640 is a `hidden beast` number, since 259 + 283 + 60 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204160257 + ... + 204160383.

It is an arithmetic number, because the mean of its divisors is an integer number (88757760).

Almost surely, 2^25928360640 is an apocalyptic number.

25928360640 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 25928360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59645214720).

25928360640 is an abundant number, since it is smaller than the sum of its proper divisors (93362068800).

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

25928360640 is a wasteful number, since it uses less digits than its factorization.

25928360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 25928360640 in words is "twenty-five billion, nine hundred twenty-eight million, three hundred sixty thousand, six hundred forty".