25449552000 has 640 divisors, whose sum is σ = 96171332400. Its totient is φ = 6668697600.

The previous prime is 25449551999. The next prime is 25449552013. The reversal of 25449552000 is 25594452.

25449552000 is a `hidden beast` number, since 2 + 5 + 44 + 95 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61591104 + 25387960896 = 7848^2 + 159336^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94607866 + ... + 94608134.

Almost surely, 2^25449552000 is an apocalyptic number.

25449552000 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 25449552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48085666200).

25449552000 is an abundant number, since it is smaller than the sum of its proper divisors (70721780400).

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

25449552000 is an equidigital number, since it uses as much as digits as its factorization.

25449552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 25449552000 in words is "twenty-five billion, four hundred forty-nine million, five hundred fifty-two thousand".