27970968187008 has 2048 divisors, whose sum is σ = 113658047078400. Its totient is φ = 6550373007360.

The previous prime is 27970968186983. The next prime is 27970968187009. The reversal of 27970968187008 is 80078186907972.

It is a super-3 number, since 3×27970968187008³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (27970968187009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10309975860 + ... + 10309978572.

It is an arithmetic number, because the mean of its divisors is an integer number (55497093300).

Almost surely, 2^{27970968187008} is an apocalyptic number.

27970968187008 is a gapful number since it is divisible by the number (28) 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 27970968187008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56829023539200).

27970968187008 is an abundant number, since it is smaller than the sum of its proper divisors (85687078891392).

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

27970968187008 is a wasteful number, since it uses less digits than its factorization.

27970968187008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 27970968187008 in words is "twenty-seven trillion, nine hundred seventy billion, nine hundred sixty-eight million, one hundred eighty-seven thousand, eight".