26490437959680 has 1632 divisors, whose sum is σ = 103211806521600. Its totient is φ = 6426609057792.

The previous prime is 26490437959639. The next prime is 26490437959681. The reversal of 26490437959680 is 8695973409462.

26490437959680 is a `hidden beast` number, since 2 + 6 + 4 + 90 + 4 + 379 + 5 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26490437959599 and 26490437959608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26490437959681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 395379671007 + ... + 395379671073.

Almost surely, 2^{26490437959680} is an apocalyptic number.

26490437959680 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 26490437959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51605903260800).

26490437959680 is an abundant number, since it is smaller than the sum of its proper divisors (76721368561920).

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

26490437959680 is an frugal number, since it uses more digits than its factorization.

26490437959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 26490437959680 in words is "twenty-six trillion, four hundred ninety billion, four hundred thirty-seven million, nine hundred fifty-nine thousand, six hundred eighty".