26266228240896 has 360 divisors, whose sum is σ = 88358316830784. Its totient is φ = 7489684500480.

The previous prime is 26266228240883. The next prime is 26266228240999. The reversal of 26266228240896 is 69804282266262.

26266228240896 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 62 + 2 + 82 + 408 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113457741 + ... + 113689011.

Almost surely, 2^{26266228240896} 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 26266228240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44179158415392).

26266228240896 is an abundant number, since it is smaller than the sum of its proper divisors (62092088589888).

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

26266228240896 is a wasteful number, since it uses less digits than its factorization.

26266228240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231812 (or 231786 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 26266228240896 in words is "twenty-six trillion, two hundred sixty-six billion, two hundred twenty-eight million, two hundred forty thousand, eight hundred ninety-six".