25026048000 has 312 divisors, whose sum is σ = 90232842336. Its totient is φ = 6672384000.

The previous prime is 25026047957. The next prime is 25026048013. The reversal of 25026048000 is 84062052.

25026048000 is a `hidden beast` number, since 2 + 50 + 2 + 604 + 8 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4605285 + ... + 4610715.

It is an arithmetic number, because the mean of its divisors is an integer number (289207828).

Almost surely, 2^25026048000 is an apocalyptic number.

25026048000 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 25026048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45116421168).

25026048000 is an abundant number, since it is smaller than the sum of its proper divisors (65206794336).

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

25026048000 is an equidigital number, since it uses as much as digits as its factorization.

25026048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 25026048000 in words is "twenty-five billion, twenty-six million, forty-eight thousand".