26040659768448 has 384 divisors, whose sum is σ = 76219743902400. Its totient is φ = 7872593264640.

The previous prime is 26040659768437. The next prime is 26040659768477. The reversal of 26040659768448 is 84486795604062.

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

It is a super-2 number, since 2×26040659768448² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 874977888 + ... + 875007648.

Almost surely, 2^{26040659768448} 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 26040659768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38109871951200).

26040659768448 is an abundant number, since it is smaller than the sum of its proper divisors (50179084133952).

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

26040659768448 is a wasteful number, since it uses less digits than its factorization.

26040659768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30040 (or 30015 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 69.

The spelling of 26040659768448 in words is "twenty-six trillion, forty billion, six hundred fifty-nine million, seven hundred sixty-eight thousand, four hundred forty-eight".