26601546816 has 168 divisors, whose sum is σ = 85684522560. Its totient is φ = 7829167104.

The previous prime is 26601546799. The next prime is 26601546827. The reversal of 26601546816 is 61864510662.

26601546816 is a `hidden beast` number, since 26 + 6 + 0 + 1 + 546 + 81 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94995 + ... + 249453.

It is an arithmetic number, because the mean of its divisors is an integer number (510026920).

Almost surely, 2^26601546816 is an apocalyptic number.

26601546816 is a gapful number since it is divisible by the number (26) 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 26601546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42842261280).

26601546816 is an abundant number, since it is smaller than the sum of its proper divisors (59082975744).

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

26601546816 is a wasteful number, since it uses less digits than its factorization.

26601546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154513 (or 154500 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 26601546816 in words is "twenty-six billion, six hundred one million, five hundred forty-six thousand, eight hundred sixteen".