27894628421760 has 64 divisors (see below), whose sum is σ = 88914128100480. Its totient is φ = 7438567578624.

The previous prime is 27894628421683. The next prime is 27894628421819. The reversal of 27894628421760 is 6712482649872.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×27894628421760² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27894628421691 and 27894628421700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7264224232 + ... + 7264228071.

It is an arithmetic number, because the mean of its divisors is an integer number (1389283251570).

Almost surely, 2^{27894628421760} is an apocalyptic number.

27894628421760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27894628421760 is an abundant number, since it is smaller than the sum of its proper divisors (61019499678720).

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

27894628421760 is a wasteful number, since it uses less digits than its factorization.

27894628421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14528452325 (or 14528452313 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 27894628421760 in words is "twenty-seven trillion, eight hundred ninety-four billion, six hundred twenty-eight million, four hundred twenty-one thousand, seven hundred sixty".