26181217820160 has 3360 divisors, whose sum is σ = 114030319851360. Its totient is φ = 5723916337152.

The previous prime is 26181217820129. The next prime is 26181217820183. The reversal of 26181217820160 is 6102871218162.

26181217820160 is a `hidden beast` number, since 2 + 618 + 1 + 2 + 1 + 7 + 8 + 20 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 101872442752 + ... + 101872443008.

Almost surely, 2^{26181217820160} is an apocalyptic number.

26181217820160 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 26181217820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57015159925680).

26181217820160 is an abundant number, since it is smaller than the sum of its proper divisors (87849102031200).

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

26181217820160 is a wasteful number, since it uses less digits than its factorization.

26181217820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 26181217820160 in words is "twenty-six trillion, one hundred eighty-one billion, two hundred seventeen million, eight hundred twenty thousand, one hundred sixty".