25789464288 has 480 divisors, whose sum is σ = 93612879360. Its totient is φ = 6801822720.

The previous prime is 25789464277. The next prime is 25789464301. The reversal of 25789464288 is 88246498752.

25789464288 is a `hidden beast` number, since 25 + 78 + 9 + 464 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12100983 + ... + 12103113.

It is an arithmetic number, because the mean of its divisors is an integer number (195026832).

Almost surely, 2^25789464288 is an apocalyptic number.

25789464288 is a gapful number since it is divisible by the number (28) 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 25789464288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46806439680).

25789464288 is an abundant number, since it is smaller than the sum of its proper divisors (67823415072).

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

25789464288 is a wasteful number, since it uses less digits than its factorization.

25789464288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2195 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 25789464288 in words is "twenty-five billion, seven hundred eighty-nine million, four hundred sixty-four thousand, two hundred eighty-eight".