25753559040 has 896 divisors, whose sum is σ = 104746348800. Its totient is φ = 5945425920.

The previous prime is 25753558991. The next prime is 25753559047. The reversal of 25753559040 is 4095535752.

25753559040 is a `hidden beast` number, since 2 + 5 + 7 + 53 + 5 + 590 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25753559047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352788444 + ... + 352788516.

Almost surely, 2^25753559040 is an apocalyptic number.

25753559040 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 25753559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52373174400).

25753559040 is an abundant number, since it is smaller than the sum of its proper divisors (78992789760).

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

25753559040 is a wasteful number, since it uses less digits than its factorization.

25753559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 25753559040 in words is "twenty-five billion, seven hundred fifty-three million, five hundred fifty-nine thousand, forty".