27157488648192 has 1050 divisors, whose sum is σ = 95099512192188. Its totient is φ = 7751088930816.

The previous prime is 27157488648149. The next prime is 27157488648209. The reversal of 27157488648192 is 29184688475172.

27157488648192 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 7 + 488 + 64 + 81 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27157488648192.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 28677389863 + ... + 28677390809.

Almost surely, 2^{27157488648192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27157488648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47549756096094).

27157488648192 is an abundant number, since it is smaller than the sum of its proper divisors (67942023543996).

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

27157488648192 is an frugal number, since it uses more digits than its factorization.

27157488648192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 959 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 27157488648192 in words is "twenty-seven trillion, one hundred fifty-seven billion, four hundred eighty-eight million, six hundred forty-eight thousand, one hundred ninety-two".