25411720320 has 384 divisors, whose sum is σ = 102624762240. Its totient is φ = 5672927232.

The previous prime is 25411720289. The next prime is 25411720333. The reversal of 25411720320 is 2302711452.

25411720320 is a `hidden beast` number, since 25 + 411 + 7 + 203 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1726432 + ... + 1741088.

It is an arithmetic number, because the mean of its divisors is an integer number (267251985).

Almost surely, 2^25411720320 is an apocalyptic number.

25411720320 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 25411720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51312381120).

25411720320 is an abundant number, since it is smaller than the sum of its proper divisors (77213041920).

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

25411720320 is a wasteful number, since it uses less digits than its factorization.

25411720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14732 (or 14717 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 25411720320 in words is "twenty-five billion, four hundred eleven million, seven hundred twenty thousand, three hundred twenty".