26011586160 has 320 divisors, whose sum is σ = 103081973760. Its totient is φ = 5905612800.

The previous prime is 26011586123. The next prime is 26011586173. The reversal of 26011586160 is 6168511062.

26011586160 is a `hidden beast` number, since 2 + 6 + 0 + 11 + 586 + 1 + 60 = 666.

It is a super-2 number, since 2×26011586160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2277424 + ... + 2288816.

It is an arithmetic number, because the mean of its divisors is an integer number (322131168).

Almost surely, 2^26011586160 is an apocalyptic number.

26011586160 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 26011586160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51540986880).

26011586160 is an abundant number, since it is smaller than the sum of its proper divisors (77070387600).

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

26011586160 is a wasteful number, since it uses less digits than its factorization.

26011586160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11573 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

It can be divided in two parts, 26011 and 586160, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 26011586160 in words is "twenty-six billion, eleven million, five hundred eighty-six thousand, one hundred sixty".