25259008320 has 672 divisors, whose sum is σ = 110414653440. Its totient is φ = 5155799040.

The previous prime is 25259008297. The next prime is 25259008343. The reversal of 25259008320 is 2380095252.

It is an interprime number because it is at equal distance from previous prime (25259008297) and next prime (25259008343).

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 8122926 + ... + 8126034.

It is an arithmetic number, because the mean of its divisors is an integer number (164307520).

Almost surely, 2^25259008320 is an apocalyptic number.

25259008320 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 25259008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55207326720).

25259008320 is an abundant number, since it is smaller than the sum of its proper divisors (85155645120).

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

25259008320 is a wasteful number, since it uses less digits than its factorization.

25259008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 25259008320 in words is "twenty-five billion, two hundred fifty-nine million, eight thousand, three hundred twenty".