26113111128 has 160 divisors (see below), whose sum is σ = 78960050400. Its totient is φ = 8015127552.

The previous prime is 26113111093. The next prime is 26113111163. The reversal of 26113111128 is 82111131162.

26113111128 is a `hidden beast` number, since 2 + 611 + 3 + 11 + 11 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (26113111093) and next prime (26113111163).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3644013 + ... + 3651171.

It is an arithmetic number, because the mean of its divisors is an integer number (493500315).

Almost surely, 2^26113111128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26113111128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39480025200).

26113111128 is an abundant number, since it is smaller than the sum of its proper divisors (52846939272).

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

26113111128 is a wasteful number, since it uses less digits than its factorization.

26113111128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7610 counting only the distinct ones).

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

The spelling of 26113111128 in words is "twenty-six billion, one hundred thirteen million, one hundred eleven thousand, one hundred twenty-eight".