27681105715200 has 3024 divisors, whose sum is σ = 125294869409760. Its totient is φ = 5972923514880.

The previous prime is 27681105715171. The next prime is 27681105715217. The reversal of 27681105715200 is 251750118672.

27681105715200 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 110 + 5 + 7 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×27681105715200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 97813094259 + ... + 97813094541.

Almost surely, 2^{27681105715200} is an apocalyptic number.

27681105715200 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 27681105715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62647434704880).

27681105715200 is an abundant number, since it is smaller than the sum of its proper divisors (97613763694560).

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

27681105715200 is a wasteful number, since it uses less digits than its factorization.

27681105715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 27681105715200 in words is "twenty-seven trillion, six hundred eighty-one billion, one hundred five million, seven hundred fifteen thousand, two hundred".