26909952000 has 384 divisors, whose sum is σ = 92051406720. Its totient is φ = 6974668800.

The previous prime is 26909951989. The next prime is 26909952007. The reversal of 26909952000 is 25990962.

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 (26909952007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28415527 + ... + 28416473.

It is an arithmetic number, because the mean of its divisors is an integer number (239717205).

Almost surely, 2^26909952000 is an apocalyptic number.

26909952000 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 26909952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46025703360).

26909952000 is an abundant number, since it is smaller than the sum of its proper divisors (65141454720).

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

26909952000 is an equidigital number, since it uses as much as digits as its factorization.

26909952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 26909952000 in words is "twenty-six billion, nine hundred nine million, nine hundred fifty-two thousand".