25996435200 has 648 divisors, whose sum is σ = 97859361600. Its totient is φ = 6575063040.

The previous prime is 25996435169. The next prime is 25996435211. The reversal of 25996435200 is 253469952.

25996435200 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 6 + 435 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131961502 + ... + 131961698.

Almost surely, 2^25996435200 is an apocalyptic number.

25996435200 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 25996435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48929680800).

25996435200 is an abundant number, since it is smaller than the sum of its proper divisors (71862926400).

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

25996435200 is a wasteful number, since it uses less digits than its factorization.

25996435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 25996435200 in words is "twenty-five billion, nine hundred ninety-six million, four hundred thirty-five thousand, two hundred".