27655400455672 has 64 divisors (see below), whose sum is σ = 59028532531200. Its totient is φ = 12023843610240.

The previous prime is 27655400455651. The next prime is 27655400455769.

It is a happy number.

27655400455672 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130075438 + ... + 130287874.

It is an arithmetic number, because the mean of its divisors is an integer number (922320820800).

Almost surely, 2^{27655400455672} is an apocalyptic number.

27655400455672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27655400455672 is an abundant number, since it is smaller than the sum of its proper divisors (31373132075528).

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

27655400455672 is a wasteful number, since it uses less digits than its factorization.

27655400455672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276796 (or 276792 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 58.

The spelling of 27655400455672 in words is "twenty-seven trillion, six hundred fifty-five billion, four hundred million, four hundred fifty-five thousand, six hundred seventy-two".