26257545216 has 288 divisors, whose sum is σ = 91240531200. Its totient is φ = 7106641920.

The previous prime is 26257545199. The next prime is 26257545257. The reversal of 26257545216 is 61254575262.

26257545216 is a `hidden beast` number, since 2 + 62 + 575 + 4 + 5 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 2446101 + ... + 2456811.

It is an arithmetic number, because the mean of its divisors is an integer number (316807400).

Almost surely, 2^26257545216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26257545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45620265600).

26257545216 is an abundant number, since it is smaller than the sum of its proper divisors (64982985984).

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

26257545216 is a wasteful number, since it uses less digits than its factorization.

26257545216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10765 (or 10742 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 26257545216 in words is "twenty-six billion, two hundred fifty-seven million, five hundred forty-five thousand, two hundred sixteen".