27891543932160 has 1152 divisors, whose sum is σ = 94872781301760. Its totient is φ = 6975693914112.

The previous prime is 27891543932149. The next prime is 27891543932177. The reversal of 27891543932160 is 6123934519872.

It is a super-2 number, since 2×27891543932160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 27891543932094 and 27891543932103.

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, 141581441182 + ... + 141581441378.

It is an arithmetic number, because the mean of its divisors is an integer number (82354844880).

It is a 1-persistent number, because it is pandigital, but 2⋅27891543932160 = 55783087864320 is not.

Almost surely, 2^{27891543932160} is an apocalyptic number.

27891543932160 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 27891543932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47436390650880).

27891543932160 is an abundant number, since it is smaller than the sum of its proper divisors (66981237369600).

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

27891543932160 is a wasteful number, since it uses less digits than its factorization.

27891543932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 27891543932160 in words is "twenty-seven trillion, eight hundred ninety-one billion, five hundred forty-three million, nine hundred thirty-two thousand, one hundred sixty".