25197166080 has 480 divisors, whose sum is σ = 96449880384. Its totient is φ = 6046875648.

The previous prime is 25197166061. The next prime is 25197166091. The reversal of 25197166080 is 8066179152.

25197166080 is a `hidden beast` number, since 2 + 519 + 71 + 6 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9007242 + ... + 9010038.

Almost surely, 2^25197166080 is an apocalyptic number.

25197166080 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 25197166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48224940192).

25197166080 is an abundant number, since it is smaller than the sum of its proper divisors (71252714304).

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

25197166080 is a wasteful number, since it uses less digits than its factorization.

25197166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 25197166080 in words is "twenty-five billion, one hundred ninety-seven million, one hundred sixty-six thousand, eighty".