25091382960 has 960 divisors, whose sum is σ = 105293260800. Its totient is φ = 5547709440.

The previous prime is 25091382941. The next prime is 25091382961. The reversal of 25091382960 is 6928319052.

25091382960 is a `hidden beast` number, since 2 + 509 + 1 + 3 + 82 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25091382961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 353399725 + ... + 353399795.

It is an arithmetic number, because the mean of its divisors is an integer number (109680480).

Almost surely, 2^25091382960 is an apocalyptic number.

25091382960 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 25091382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52646630400).

25091382960 is an abundant number, since it is smaller than the sum of its proper divisors (80201877840).

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

25091382960 is an equidigital number, since it uses as much as digits as its factorization.

25091382960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 25091382960 in words is "twenty-five billion, ninety-one million, three hundred eighty-two thousand, nine hundred sixty".