27082289443968 has 1024 divisors, whose sum is σ = 93401579520000. Its totient is φ = 7644439756800.

The previous prime is 27082289443927. The next prime is 27082289443973. The reversal of 27082289443968 is 86934498228072.

27082289443968 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 228 + 9 + 4 + 4 + 396 + 8 = 666.

It is a super-2 number, since 2×27082289443968² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27082289443896 and 27082289443905.

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, 13089554038 + ... + 13089556106.

It is an arithmetic number, because the mean of its divisors is an integer number (91212480000).

Almost surely, 2^{27082289443968} 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 27082289443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46700789760000).

27082289443968 is an abundant number, since it is smaller than the sum of its proper divisors (66319290076032).

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

27082289443968 is a wasteful number, since it uses less digits than its factorization.

27082289443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

It can be divided in two parts, 2708228 and 9443968, that added together give a square (12152196 = 3486²).

The spelling of 27082289443968 in words is "twenty-seven trillion, eighty-two billion, two hundred eighty-nine million, four hundred forty-three thousand, nine hundred sixty-eight".