27360495453900 has 288 divisors, whose sum is σ = 91820373120000. Its totient is φ = 6160766976000.

The previous prime is 27360495453881. The next prime is 27360495453931. The reversal of 27360495453900 is 935459406372.

It is a super-2 number, since 2×27360495453900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186152440 + ... + 186299360.

It is an arithmetic number, because the mean of its divisors is an integer number (318820740000).

Almost surely, 2^{27360495453900} is an apocalyptic number.

27360495453900 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 27360495453900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45910186560000).

27360495453900 is an abundant number, since it is smaller than the sum of its proper divisors (64459877666100).

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

27360495453900 is a wasteful number, since it uses less digits than its factorization.

27360495453900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148265 (or 148258 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 27360495453900 in words is "twenty-seven trillion, three hundred sixty billion, four hundred ninety-five million, four hundred fifty-three thousand, nine hundred".