27379199448960 has 128 divisors (see below), whose sum is σ = 87569053961760. Its totient is φ = 7276201205760.

The previous prime is 27379199448911. The next prime is 27379199448973. The reversal of 27379199448960 is 6984499197372.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23771911 + ... + 24897030.

Almost surely, 2^{27379199448960} is an apocalyptic number.

27379199448960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27379199448960 is an abundant number, since it is smaller than the sum of its proper divisors (60189854512800).

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

27379199448960 is a wasteful number, since it uses less digits than its factorization.

27379199448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48669256 (or 48669244 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 78.

The spelling of 27379199448960 in words is "twenty-seven trillion, three hundred seventy-nine billion, one hundred ninety-nine million, four hundred forty-eight thousand, nine hundred sixty".