27700227072000 has 4032 divisors, whose sum is σ = 128773714268160. Its totient is φ = 5804752896000.

The previous prime is 27700227071921. The next prime is 27700227072017. The reversal of 27700227072000 is 27072200772.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 893555711985 + ... + 893555712015.

Almost surely, 2^{27700227072000} is an apocalyptic number.

27700227072000 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 27700227072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64386857134080).

27700227072000 is an abundant number, since it is smaller than the sum of its proper divisors (101073487196160).

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

27700227072000 is an frugal number, since it uses more digits than its factorization.

27700227072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

Adding to 27700227072000 its reverse (27072200772), we get a palindrome (27727299272772).

It can be divided in two parts, 27 and 700227072000, that multiplied together give a cube (18906130944000 = 26640³).

The spelling of 27700227072000 in words is "twenty-seven trillion, seven hundred billion, two hundred twenty-seven million, seventy-two thousand".