27730825113600 has 3510 divisors, whose sum is σ = 125210454122952. Its totient is φ = 6047612928000.

The previous prime is 27730825113571. The next prime is 27730825113601. The reversal of 27730825113600 is 631152803772.

27730825113600 is a `hidden beast` number, since 2 + 7 + 7 + 3 + 0 + 8 + 25 + 1 + 13 + 600 = 666.

It is a super-2 number, since 2×27730825113600² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27730825113601) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 390575001565 + ... + 390575001635.

Almost surely, 2^{27730825113600} is an apocalyptic number.

27730825113600 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 27730825113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62605227061476).

27730825113600 is an abundant number, since it is smaller than the sum of its proper divisors (97479629009352).

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

27730825113600 is an equidigital number, since it uses as much as digits as its factorization.

27730825113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27730825113600 in words is "twenty-seven trillion, seven hundred thirty billion, eight hundred twenty-five million, one hundred thirteen thousand, six hundred".