27258235968000 has 640 divisors, whose sum is σ = 91253725744896. Its totient is φ = 7218782208000.

The previous prime is 27258235967933. The next prime is 27258235968013. The reversal of 27258235968000 is 86953285272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×27258235968000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21114047355 + ... + 21114048645.

Almost surely, 2^{27258235968000} is an apocalyptic number.

27258235968000 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 27258235968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45626862872448).

27258235968000 is an abundant number, since it is smaller than the sum of its proper divisors (63995489776896).

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

27258235968000 is a wasteful number, since it uses less digits than its factorization.

27258235968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 27258235968000 in words is "twenty-seven trillion, two hundred fifty-eight billion, two hundred thirty-five million, nine hundred sixty-eight thousand".