27155471616000 has 4608 divisors, whose sum is σ = 128837626444800. Its totient is φ = 5589762048000.

The previous prime is 27155471615953. The next prime is 27155471616001. The reversal of 27155471616000 is 61617455172.

27155471616000 is a `hidden beast` number, since 2 + 7 + 15 + 5 + 471 + 6 + 160 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27155471616001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 662328575980 + ... + 662328576020.

It is an arithmetic number, because the mean of its divisors is an integer number (27959554350).

Almost surely, 2^{27155471616000} is an apocalyptic number.

27155471616000 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 27155471616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64418813222400).

27155471616000 is an abundant number, since it is smaller than the sum of its proper divisors (101682154828800).

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

27155471616000 is an frugal number, since it uses more digits than its factorization.

27155471616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 27155471616000 in words is "twenty-seven trillion, one hundred fifty-five billion, four hundred seventy-one million, six hundred sixteen thousand".