25119982080 has 240 divisors, whose sum is σ = 91577977920. Its totient is φ = 6345990144.

The previous prime is 25119982057. The next prime is 25119982127. The reversal of 25119982080 is 8028991152.

25119982080 is a `hidden beast` number, since 251 + 199 + 8 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×25119982080² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 409069 + ... + 466451.

It is an arithmetic number, because the mean of its divisors is an integer number (381574908).

Almost surely, 2^25119982080 is an apocalyptic number.

25119982080 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 25119982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45788988960).

25119982080 is an abundant number, since it is smaller than the sum of its proper divisors (66457995840).

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

25119982080 is a wasteful number, since it uses less digits than its factorization.

25119982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57431 (or 57412 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 25119982080 in words is "twenty-five billion, one hundred nineteen million, nine hundred eighty-two thousand, eighty".