27701352000 has 1120 divisors, whose sum is σ = 121511909376. Its totient is φ = 6096384000.

The previous prime is 27701351989. The next prime is 27701352001. The reversal of 27701352000 is 25310772.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27701352001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140615902 + ... + 140616098.

Almost surely, 2^27701352000 is an apocalyptic number.

27701352000 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 27701352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60755954688).

27701352000 is an abundant number, since it is smaller than the sum of its proper divisors (93810557376).

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

27701352000 is a wasteful number, since it uses less digits than its factorization.

27701352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

Adding to 27701352000 its reverse (25310772), we get a palindrome (27726662772).

The spelling of 27701352000 in words is "twenty-seven billion, seven hundred one million, three hundred fifty-two thousand".