26115379954560 has 768 divisors, whose sum is σ = 98479633412160. Its totient is φ = 6338765389824.

The previous prime is 26115379954549. The next prime is 26115379954667. The reversal of 26115379954560 is 6545997351162.

26115379954560 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 537 + 9 + 95 + 4 + 5 + 6 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1666895847 + ... + 1666911513.

Almost surely, 2^{26115379954560} is an apocalyptic number.

26115379954560 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 26115379954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49239816706080).

26115379954560 is an abundant number, since it is smaller than the sum of its proper divisors (72364253457600).

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

26115379954560 is a wasteful number, since it uses less digits than its factorization.

26115379954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16015 (or 16000 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 26115379954560 in words is "twenty-six trillion, one hundred fifteen billion, three hundred seventy-nine million, nine hundred fifty-four thousand, five hundred sixty".