26111151360 has 864 divisors, whose sum is σ = 114252405120. Its totient is φ = 5610995712.

The previous prime is 26111151307. The next prime is 26111151361. The reversal of 26111151360 is 6315111162.

26111151360 is a `hidden beast` number, since 2 + 611 + 1 + 15 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26111151361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28788027 + ... + 28788933.

It is an arithmetic number, because the mean of its divisors is an integer number (132236580).

Almost surely, 2^26111151360 is an apocalyptic number.

26111151360 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 26111151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57126202560).

26111151360 is an abundant number, since it is smaller than the sum of its proper divisors (88141253760).

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

26111151360 is a wasteful number, since it uses less digits than its factorization.

26111151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 26111151360 in words is "twenty-six billion, one hundred eleven million, one hundred fifty-one thousand, three hundred sixty".