26015116140 has 192 divisors, whose sum is σ = 87529115520. Its totient is φ = 6376734720.

The previous prime is 26015116117. The next prime is 26015116157. The reversal of 26015116140 is 4161151062.

26015116140 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 511 + 6 + 140 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 1684132 + ... + 1699508.

It is an arithmetic number, because the mean of its divisors is an integer number (455880810).

Almost surely, 2^26015116140 is an apocalyptic number.

26015116140 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 26015116140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43764557760).

26015116140 is an abundant number, since it is smaller than the sum of its proper divisors (61513999380).

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

26015116140 is a wasteful number, since it uses less digits than its factorization.

26015116140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15649 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 26015116140 in words is "twenty-six billion, fifteen million, one hundred sixteen thousand, one hundred forty".