26549376000000 has 2352 divisors, whose sum is σ = 110307374922528. Its totient is φ = 5642649600000.

The previous prime is 26549375999999. The next prime is 26549376000013. The reversal of 26549376000000 is 67394562.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 319871999959 + ... + 319872000041.

Almost surely, 2^{26549376000000} is an apocalyptic number.

26549376000000 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 26549376000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55153687461264).

26549376000000 is an abundant number, since it is smaller than the sum of its proper divisors (83757998922528).

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

26549376000000 is an frugal number, since it uses more digits than its factorization.

26549376000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 26549376000000 in words is "twenty-six trillion, five hundred forty-nine billion, three hundred seventy-six million", and thus it is an aban number.