26101111680 has 1024 divisors, whose sum is σ = 114331392000. Its totient is φ = 5494210560.

The previous prime is 26101111667. The next prime is 26101111703. The reversal of 26101111680 is 8611110162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94227702 + ... + 94227978.

It is an arithmetic number, because the mean of its divisors is an integer number (111651750).

Almost surely, 2^26101111680 is an apocalyptic number.

26101111680 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 26101111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57165696000).

26101111680 is an abundant number, since it is smaller than the sum of its proper divisors (88230280320).

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

26101111680 is a wasteful number, since it uses less digits than its factorization.

26101111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

It can be divided in two parts, 261011 and 11680, that added together give a triangular number (272691 = T₇₃₈).

The spelling of 26101111680 in words is "twenty-six billion, one hundred one million, one hundred eleven thousand, six hundred eighty".