25161101416000 has 448 divisors, whose sum is σ = 70505482364928. Its totient is φ = 8813952000000.

The previous prime is 25161101415977. The next prime is 25161101416097. The reversal of 25161101416000 is 61410116152.

It is a self number, because there is not a number n which added to its sum of digits gives 25161101416000.

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 63 ways as a sum of consecutive naturals, for example, 328817745 + ... + 328894255.

Almost surely, 2^{25161101416000} is an apocalyptic number.

25161101416000 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 25161101416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35252741182464).

25161101416000 is an abundant number, since it is smaller than the sum of its proper divisors (45344380948928).

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

25161101416000 is a wasteful number, since it uses less digits than its factorization.

25161101416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76687 (or 76667 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 25161101416000 in words is "twenty-five trillion, one hundred sixty-one billion, one hundred one million, four hundred sixteen thousand".