26932904160 has 288 divisors, whose sum is σ = 93044754432. Its totient is φ = 6540533760.

The previous prime is 26932904153. The next prime is 26932904197. The reversal of 26932904160 is 6140923962.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4297189 + ... + 4303451.

It is an arithmetic number, because the mean of its divisors is an integer number (323072064).

Almost surely, 2^26932904160 is an apocalyptic number.

26932904160 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 26932904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46522377216).

26932904160 is an abundant number, since it is smaller than the sum of its proper divisors (66111850272).

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

26932904160 is a wasteful number, since it uses less digits than its factorization.

26932904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 26932904160 in words is "twenty-six billion, nine hundred thirty-two million, nine hundred four thousand, one hundred sixty".