25432461600 has 1152 divisors, whose sum is σ = 109361000448. Its totient is φ = 4987699200.

The previous prime is 25432461521. The next prime is 25432461611. The reversal of 25432461600 is 616423452.

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, 306415159 + ... + 306415241.

It is an arithmetic number, because the mean of its divisors is an integer number (94931424).

Almost surely, 2^25432461600 is an apocalyptic number.

25432461600 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 25432461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54680500224).

25432461600 is an abundant number, since it is smaller than the sum of its proper divisors (83928538848).

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

25432461600 is a wasteful number, since it uses less digits than its factorization.

25432461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 25432461600 in words is "twenty-five billion, four hundred thirty-two million, four hundred sixty-one thousand, six hundred".