27157445145600 has 1584 divisors, whose sum is σ = 117582681655296. Its totient is φ = 5460811776000.

The previous prime is 27157445145563. The next prime is 27157445145659. The reversal of 27157445145600 is 654154475172.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1283240619 + ... + 1283261781.

It is an arithmetic number, because the mean of its divisors is an integer number (74231490944).

Almost surely, 2^{27157445145600} is an apocalyptic number.

27157445145600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27157445145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58791340827648).

27157445145600 is an abundant number, since it is smaller than the sum of its proper divisors (90425236509696).

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

27157445145600 is a wasteful number, since it uses less digits than its factorization.

27157445145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21252 (or 21222 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The spelling of 27157445145600 in words is "twenty-seven trillion, one hundred fifty-seven billion, four hundred forty-five million, one hundred forty-five thousand, six hundred".