27152628572160 has 1792 divisors, whose sum is σ = 120789588971520. Its totient is φ = 5633715732480.

The previous prime is 27152628572117. The next prime is 27152628572197. The reversal of 27152628572160 is 6127582625172.

It is a happy number.

27152628572160 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 2 + 6 + 2 + 8 + 572 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27152628572097 and 27152628572106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6138959709 + ... + 6138964131.

It is an arithmetic number, because the mean of its divisors is an integer number (67404904560).

Almost surely, 2^{27152628572160} is an apocalyptic number.

27152628572160 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 27152628572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60394794485760).

27152628572160 is an abundant number, since it is smaller than the sum of its proper divisors (93636960399360).

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

27152628572160 is a wasteful number, since it uses less digits than its factorization.

27152628572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 27152628572160 in words is "twenty-seven trillion, one hundred fifty-two billion, six hundred twenty-eight million, five hundred seventy-two thousand, one hundred sixty".