25048993775616 has 360 divisors, whose sum is σ = 75111227886240. Its totient is φ = 8341920940032.

The previous prime is 25048993775591. The next prime is 25048993775623. The reversal of 25048993775616 is 61657739984052.

25048993775616 is a `hidden beast` number, since 2 + 5 + 0 + 489 + 93 + 7 + 7 + 56 + 1 + 6 = 666.

It is a super-2 number, since 2×25048993775616² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5681330020 + ... + 5681334428.

It is an arithmetic number, because the mean of its divisors is an integer number (208642299684).

It is a 1-persistent number, because it is pandigital, but 2⋅25048993775616 = 50097987551232 is not.

Almost surely, 2^{25048993775616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25048993775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37555613943120).

25048993775616 is an abundant number, since it is smaller than the sum of its proper divisors (50062234110624).

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

25048993775616 is an frugal number, since it uses more digits than its factorization.

25048993775616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 25048993775616 in words is "twenty-five trillion, forty-eight billion, nine hundred ninety-three million, seven hundred seventy-five thousand, six hundred sixteen".