26730945180 has 288 divisors, whose sum is σ = 87145269120. Its totient is φ = 6631925760.

The previous prime is 26730945179. The next prime is 26730945191. The reversal of 26730945180 is 8154903762.

26730945180 is a `hidden beast` number, since 267 + 309 + 4 + 5 + 1 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 147684690 + ... + 147684870.

It is an arithmetic number, because the mean of its divisors is an integer number (302587740).

It is a 1-persistent number, because it is pandigital, but 2⋅26730945180 = 53461890360 is not.

Almost surely, 2^26730945180 is an apocalyptic number.

26730945180 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 26730945180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43572634560).

26730945180 is an abundant number, since it is smaller than the sum of its proper divisors (60414323940).

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

26730945180 is a wasteful number, since it uses less digits than its factorization.

26730945180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26730945180 in words is "twenty-six billion, seven hundred thirty million, nine hundred forty-five thousand, one hundred eighty".