25168020480 has 264 divisors, whose sum is σ = 91001956032. Its totient is φ = 6419398656.

The previous prime is 25168020349. The next prime is 25168020487. The reversal of 25168020480 is 8402086152.

25168020480 is a `hidden beast` number, since 2 + 516 + 80 + 20 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25168020487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1047967 + ... + 1071713.

Almost surely, 2^25168020480 is an apocalyptic number.

25168020480 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 25168020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45500978016).

25168020480 is an abundant number, since it is smaller than the sum of its proper divisors (65833935552).

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

25168020480 is a wasteful number, since it uses less digits than its factorization.

25168020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23801 (or 23780 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 25168020480 in words is "twenty-five billion, one hundred sixty-eight million, twenty thousand, four hundred eighty".