27196956376128 has 336 divisors, whose sum is σ = 97809930002304. Its totient is φ = 7019148165120.

The previous prime is 27196956376099. The next prime is 27196956376129. The reversal of 27196956376128 is 82167365969172.

27196956376128 is a `hidden beast` number, since 2 + 7 + 196 + 9 + 56 + 376 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×27196956376128² (a number of 28 digits) contains 22 as substring.

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 (27196956376129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5010376 + ... + 8916152.

Almost surely, 2^{27196956376128} is an apocalyptic number.

27196956376128 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 27196956376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48904965001152).

27196956376128 is an abundant number, since it is smaller than the sum of its proper divisors (70612973626176).

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

27196956376128 is a wasteful number, since it uses less digits than its factorization.

27196956376128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905970 (or 3905957 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 27196956376128 in words is "twenty-seven trillion, one hundred ninety-six billion, nine hundred fifty-six million, three hundred seventy-six thousand, one hundred twenty-eight".