25780248000 has 448 divisors, whose sum is σ = 101871719040. Its totient is φ = 6345216000.

The previous prime is 25780247971. The next prime is 25780248023. The reversal of 25780248000 is 84208752.

It is a happy number.

25780248000 is a `hidden beast` number, since 2 + 578 + 0 + 2 + 4 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2803410 + ... + 2812590.

It is an arithmetic number, because the mean of its divisors is an integer number (227392230).

Almost surely, 2^25780248000 is an apocalyptic number.

25780248000 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 25780248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50935859520).

25780248000 is an abundant number, since it is smaller than the sum of its proper divisors (76091471040).

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

25780248000 is a wasteful number, since it uses less digits than its factorization.

25780248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 25780248000 in words is "twenty-five billion, seven hundred eighty million, two hundred forty-eight thousand".