25160010414000 has 1280 divisors, whose sum is σ = 105660283023360. Its totient is φ = 4997529600000.

The previous prime is 25160010413981. The next prime is 25160010414041. The reversal of 25160010414000 is 41401006152.

It is a happy number.

It is a super-3 number, since 3×25160010414000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1353188704 + ... + 1353207296.

It is an arithmetic number, because the mean of its divisors is an integer number (82547096112).

Almost surely, 2^{25160010414000} is an apocalyptic number.

25160010414000 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 25160010414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52830141511680).

25160010414000 is an abundant number, since it is smaller than the sum of its proper divisors (80500272609360).

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

25160010414000 is a wasteful number, since it uses less digits than its factorization.

25160010414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18767 (or 18751 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 25160010414000 in words is "twenty-five trillion, one hundred sixty billion, ten million, four hundred fourteen thousand".