27953190669768 has 128 divisors (see below), whose sum is σ = 86134293611520. Its totient is φ = 7361600682240.

The previous prime is 27953190669749. The next prime is 27953190669787. The reversal of 27953190669768 is 86796609135972.

It is an interprime number because it is at equal distance from previous prime (27953190669749) and next prime (27953190669787).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 27953190669693 and 27953190669702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7752130 + ... + 10770417.

It is an arithmetic number, because the mean of its divisors is an integer number (672924168840).

Almost surely, 2^{27953190669768} is an apocalyptic number.

27953190669768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27953190669768 is an abundant number, since it is smaller than the sum of its proper divisors (58181102941752).

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

27953190669768 is a wasteful number, since it uses less digits than its factorization.

27953190669768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18523267 (or 18523263 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 78.

The spelling of 27953190669768 in words is "twenty-seven trillion, nine hundred fifty-three billion, one hundred ninety million, six hundred sixty-nine thousand, seven hundred sixty-eight".