27153027768800 has 72 divisors (see below), whose sum is σ = 66292406670672. Its totient is φ = 10860379136000.

The previous prime is 27153027768731. The next prime is 27153027768869. The reversal of 27153027768800 is 886772035172.

It is an interprime number because it is at equal distance from previous prime (27153027768731) and next prime (27153027768869).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9203405 + ... + 11790195.

It is an arithmetic number, because the mean of its divisors is an integer number (920727870426).

Almost surely, 2^{27153027768800} is an apocalyptic number.

27153027768800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27153027768800 is an abundant number, since it is smaller than the sum of its proper divisors (39139378901872).

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

27153027768800 is a wasteful number, since it uses less digits than its factorization.

27153027768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599932 (or 2599919 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 56.

The spelling of 27153027768800 in words is "twenty-seven trillion, one hundred fifty-three billion, twenty-seven million, seven hundred sixty-eight thousand, eight hundred".