270036045561100 has 288 divisors, whose sum is σ = 763679221151616. Its totient is φ = 80429359104000.

The previous prime is 270036045561071. The next prime is 270036045561119. The reversal of 270036045561100 is 1165540630072.

270036045561100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2691884544 + ... + 2691984856.

It is an arithmetic number, because the mean of its divisors is an integer number (2651663962332).

Almost surely, 2^{270036045561100} is an apocalyptic number.

270036045561100 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 270036045561100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381839610575808).

270036045561100 is an abundant number, since it is smaller than the sum of its proper divisors (493643175590516).

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

270036045561100 is a wasteful number, since it uses less digits than its factorization.

270036045561100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117765 (or 117758 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 270036045561100 in words is "two hundred seventy trillion, thirty-six billion, forty-five million, five hundred sixty-one thousand, one hundred".