25170768000 has 384 divisors, whose sum is σ = 103312160640. Its totient is φ = 5753088000.

The previous prime is 25170767933. The next prime is 25170768013. The reversal of 25170768000 is 86707152.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995515 + ... + 1020485.

It is an arithmetic number, because the mean of its divisors is an integer number (269042085).

Almost surely, 2^25170768000 is an apocalyptic number.

25170768000 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 25170768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51656080320).

25170768000 is an abundant number, since it is smaller than the sum of its proper divisors (78141392640).

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

25170768000 is a wasteful number, since it uses less digits than its factorization.

25170768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25013 (or 24988 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

It can be divided in two parts, 25170 and 768000, that added together give a triangular number (793170 = T₁₂₅₉).

The spelling of 25170768000 in words is "twenty-five billion, one hundred seventy million, seven hundred sixty-eight thousand".