26288786160 has 1080 divisors, whose sum is σ = 116885268864. Its totient is φ = 5242890240.

The previous prime is 26288786159. The next prime is 26288786177. The reversal of 26288786160 is 6168788262.

26288786160 is a `hidden beast` number, since 2 + 628 + 8 + 7 + 8 + 6 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×26288786160² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26288786097 and 26288786106.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 611367099 + ... + 611367141.

Almost surely, 2^26288786160 is an apocalyptic number.

26288786160 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 26288786160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58442634432).

26288786160 is an abundant number, since it is smaller than the sum of its proper divisors (90596482704).

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

26288786160 is a wasteful number, since it uses less digits than its factorization.

26288786160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 26288786160 in words is "twenty-six billion, two hundred eighty-eight million, seven hundred eighty-six thousand, one hundred sixty".