25350457600 has 216 divisors, whose sum is σ = 68405746752. Its totient is φ = 9244876800.

The previous prime is 25350457597. The next prime is 25350457603. The reversal of 25350457600 is 675405352.

It is an interprime number because it is at equal distance from previous prime (25350457597) and next prime (25350457603).

It is a self number, because there is not a number n which added to its sum of digits gives 25350457600.

It is not an unprimeable number, because it can be changed into a prime (25350457603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6903765 + ... + 6907435.

It is an arithmetic number, because the mean of its divisors is an integer number (316693272).

Almost surely, 2^25350457600 is an apocalyptic number.

25350457600 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 25350457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34202873376).

25350457600 is an abundant number, since it is smaller than the sum of its proper divisors (43055289152).

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

25350457600 is a wasteful number, since it uses less digits than its factorization.

25350457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

The spelling of 25350457600 in words is "twenty-five billion, three hundred fifty million, four hundred fifty-seven thousand, six hundred".