26681002042464 has 240 divisors, whose sum is σ = 97830341554176. Its totient is φ = 6930130348800.

The previous prime is 26681002042463. The next prime is 26681002042469. The reversal of 26681002042464 is 46424020018662.

26681002042464 is a `hidden beast` number, since 2 + 6 + 68 + 100 + 2 + 0 + 424 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26681002042463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66641952 + ... + 67041119.

Almost surely, 2^{26681002042464} is an apocalyptic number.

26681002042464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26681002042464 is an abundant number, since it is smaller than the sum of its proper divisors (71149339511712).

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

26681002042464 is a wasteful number, since it uses less digits than its factorization.

26681002042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133683111 (or 133683094 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 26681002042464 in words is "twenty-six trillion, six hundred eighty-one billion, two million, forty-two thousand, four hundred sixty-four".