25789104000 has 1024 divisors, whose sum is σ = 106470374400. Its totient is φ = 6158592000.

The previous prime is 25789103987. The next prime is 25789104001. The reversal of 25789104000 is 40198752.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25789104001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 384911967 + ... + 384912033.

It is an arithmetic number, because the mean of its divisors is an integer number (103974975).

Almost surely, 2^25789104000 is an apocalyptic number.

25789104000 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 25789104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53235187200).

25789104000 is an abundant number, since it is smaller than the sum of its proper divisors (80681270400).

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

25789104000 is an frugal number, since it uses more digits than its factorization.

25789104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 25789104000 in words is "twenty-five billion, seven hundred eighty-nine million, one hundred four thousand".