25453357440 has 512 divisors, whose sum is σ = 99239178240. Its totient is φ = 5416550400.

The previous prime is 25453357439. The next prime is 25453357441. The reversal of 25453357440 is 4475335452.

It is an interprime number because it is at equal distance from previous prime (25453357439) and next prime (25453357441).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 25453357392 and 25453357401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25453357441) 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, 23075929 + ... + 23077031.

It is an arithmetic number, because the mean of its divisors is an integer number (193826520).

Almost surely, 2^25453357440 is an apocalyptic number.

25453357440 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 25453357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49619589120).

25453357440 is an abundant number, since it is smaller than the sum of its proper divisors (73785820800).

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

25453357440 is a wasteful number, since it uses less digits than its factorization.

25453357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 42.

The spelling of 25453357440 in words is "twenty-five billion, four hundred fifty-three million, three hundred fifty-seven thousand, four hundred forty".