26830924572672 has 384 divisors, whose sum is σ = 87367177497600. Its totient is φ = 8068493721600.

The previous prime is 26830924572659. The next prime is 26830924572677. The reversal of 26830924572672 is 27627542903862.

26830924572672 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 0 + 92 + 457 + 26 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (26830924572677) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79513173 + ... + 79849899.

It is an arithmetic number, because the mean of its divisors is an integer number (227518691400).

Almost surely, 2^{26830924572672} is an apocalyptic number.

26830924572672 is a gapful number since it is divisible by the number (22) 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 26830924572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43683588748800).

26830924572672 is an abundant number, since it is smaller than the sum of its proper divisors (60536252924928).

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

26830924572672 is a wasteful number, since it uses less digits than its factorization.

26830924572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336900 (or 336874 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 26830924572672 in words is "twenty-six trillion, eight hundred thirty billion, nine hundred twenty-four million, five hundred seventy-two thousand, six hundred seventy-two".