27355245120 has 168 divisors, whose sum is σ = 107532245184. Its totient is φ = 6252622848.

The previous prime is 27355245107. The next prime is 27355245167. The reversal of 27355245120 is 2154255372.

27355245120 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 524 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658294 + ... + 698613.

It is an arithmetic number, because the mean of its divisors is an integer number (640072888).

Almost surely, 2^27355245120 is an apocalyptic number.

27355245120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27355245120 is an abundant number, since it is smaller than the sum of its proper divisors (80177000064).

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

27355245120 is a wasteful number, since it uses less digits than its factorization.

27355245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356937 (or 1356924 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 27355245120 in words is "twenty-seven billion, three hundred fifty-five million, two hundred forty-five thousand, one hundred twenty".