25749504000 has 720 divisors, whose sum is σ = 102069467136. Its totient is φ = 6193152000.

The previous prime is 25749503981. The next prime is 25749504013. The reversal of 25749504000 is 40594752.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 202751937 + ... + 202752063.

Almost surely, 2^25749504000 is an apocalyptic number.

25749504000 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 25749504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51034733568).

25749504000 is an abundant number, since it is smaller than the sum of its proper divisors (76319963136).

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

25749504000 is a wasteful number, since it uses less digits than its factorization.

25749504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 25749504000 in words is "twenty-five billion, seven hundred forty-nine million, five hundred four thousand".