25466151168 has 252 divisors, whose sum is σ = 77498417388. Its totient is φ = 8345825280.

The previous prime is 25466151133. The next prime is 25466151187. The reversal of 25466151168 is 86115166452.

25466151168 is a `hidden beast` number, since 25 + 4 + 6 + 615 + 1 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9114902784 + 16351248384 = 95472^2 + 127872^2 .

It is a super-2 number, since 2×25466151168² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11382946 + ... + 11385182.

Almost surely, 2^25466151168 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 25466151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38749208694).

25466151168 is an abundant number, since it is smaller than the sum of its proper divisors (52032266220).

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

25466151168 is an frugal number, since it uses more digits than its factorization.

25466151168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2303 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 25466151168 in words is "twenty-five billion, four hundred sixty-six million, one hundred fifty-one thousand, one hundred sixty-eight".