27602443984416 has 96 divisors (see below), whose sum is σ = 86407650782208. Its totient is φ = 7543525059840.

The previous prime is 27602443984411. The next prime is 27602443984457. The reversal of 27602443984416 is 61448934420672.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27602443984416² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27602443984416.

It is not an unprimeable number, because it can be changed into a prime (27602443984411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892920750 + ... + 892951661.

It is an arithmetic number, because the mean of its divisors is an integer number (900079695648).

Almost surely, 2^{27602443984416} is an apocalyptic number.

It is an amenable number.

27602443984416 is an abundant number, since it is smaller than the sum of its proper divisors (58805206797792).

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

27602443984416 is a wasteful number, since it uses less digits than its factorization.

27602443984416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785872454 (or 1785872446 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 27602443984416 in words is "twenty-seven trillion, six hundred two billion, four hundred forty-three million, nine hundred eighty-four thousand, four hundred sixteen".