25345152000 has 792 divisors, whose sum is σ = 106481255400. Its totient is φ = 5780275200.

The previous prime is 25345151971. The next prime is 25345152023. The reversal of 25345152000 is 25154352.

It is a happy number.

25345152000 is a `hidden beast` number, since 2 + 5 + 3 + 451 + 5 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 618218496 + 24726933504 = 24864^2 + 157248^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56447776 + ... + 56448224.

Almost surely, 2^25345152000 is an apocalyptic number.

25345152000 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 25345152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53240627700).

25345152000 is an abundant number, since it is smaller than the sum of its proper divisors (81136103400).

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

25345152000 is a wasteful number, since it uses less digits than its factorization.

25345152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 25345152000 in words is "twenty-five billion, three hundred forty-five million, one hundred fifty-two thousand".