27865082972160 has 768 divisors, whose sum is σ = 113402634508800. Its totient is φ = 6357868609536.

The previous prime is 27865082972143. The next prime is 27865082972179. The reversal of 27865082972160 is 6127928056872.

27865082972160 is a `hidden beast` number, since 2 + 7 + 86 + 50 + 8 + 297 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×27865082972160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116690244 + ... + 1116715196.

It is an arithmetic number, because the mean of its divisors is an integer number (147659680350).

Almost surely, 2^{27865082972160} is an apocalyptic number.

27865082972160 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 27865082972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56701317254400).

27865082972160 is an abundant number, since it is smaller than the sum of its proper divisors (85537551536640).

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

27865082972160 is a wasteful number, since it uses less digits than its factorization.

27865082972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25573 (or 25547 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 27865082972160 in words is "twenty-seven trillion, eight hundred sixty-five billion, eighty-two million, nine hundred seventy-two thousand, one hundred sixty".