27553667862072 has 64 divisors (see below), whose sum is σ = 75168031651200. Its totient is φ = 8347189127040.

The previous prime is 27553667862041. The next prime is 27553667862073. The reversal of 27553667862072 is 27026876635572.

It is a super-2 number, since 2×27553667862072² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 27553667861994 and 27553667862012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27553667862073) by changing a digit.

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, 14127418 + ... + 15959049.

It is an arithmetic number, because the mean of its divisors is an integer number (1174500494550).

Almost surely, 2^{27553667862072} is an apocalyptic number.

27553667862072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27553667862072 is an abundant number, since it is smaller than the sum of its proper divisors (47614363789128).

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

27553667862072 is a wasteful number, since it uses less digits than its factorization.

27553667862072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30089956 (or 30089952 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 66.

The spelling of 27553667862072 in words is "twenty-seven trillion, five hundred fifty-three billion, six hundred sixty-seven million, eight hundred sixty-two thousand, seventy-two".