26681274399780 has 3840 divisors, whose sum is σ = 120740592107520. Its totient is φ = 4755179520000.

The previous prime is 26681274399763. The next prime is 26681274399833. The reversal of 26681274399780 is 8799347218662.

26681274399780 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 1 + 27 + 439 + 97 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26681274399699 and 26681274399708.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 203673850315 + ... + 203673850445.

It is an arithmetic number, because the mean of its divisors is an integer number (31442862528).

Almost surely, 2^{26681274399780} is an apocalyptic number.

26681274399780 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 26681274399780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60370296053760).

26681274399780 is an abundant number, since it is smaller than the sum of its proper divisors (94059317707740).

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

26681274399780 is a wasteful number, since it uses less digits than its factorization.

26681274399780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 26681274399780 in words is "twenty-six trillion, six hundred eighty-one billion, two hundred seventy-four million, three hundred ninety-nine thousand, seven hundred eighty".