25376222267352 has 256 divisors, whose sum is σ = 80248935859200. Its totient is φ = 7354701066240.

The previous prime is 25376222267327. The next prime is 25376222267411.

It is a happy number.

25376222267352 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 6 + 2 + 22 + 267 + 352 = 666.

25376222267352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827191438 + ... + 827222114.

It is an arithmetic number, because the mean of its divisors is an integer number (313472405700).

Almost surely, 2^{25376222267352} is an apocalyptic number.

25376222267352 is a gapful number since it is divisible by the number (22) 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 25376222267352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40124467929600).

25376222267352 is an abundant number, since it is smaller than the sum of its proper divisors (54872713591848).

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

25376222267352 is a wasteful number, since it uses less digits than its factorization.

25376222267352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45863 (or 45853 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 25376222267352 in words is "twenty-five trillion, three hundred seventy-six billion, two hundred twenty-two million, two hundred sixty-seven thousand, three hundred fifty-two".