270115040321136 has 240 divisors, whose sum is σ = 794181073920000. Its totient is φ = 85598584980480.

The previous prime is 270115040321111. The next prime is 270115040321149. The reversal of 270115040321136 is 631123040511072.

270115040321136 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 1 + 5 + 0 + 403 + 211 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 270115040321136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68254060 + ... + 72103028.

It is an arithmetic number, because the mean of its divisors is an integer number (3309087808000).

Almost surely, 2^{270115040321136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270115040321136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397090536960000).

270115040321136 is an abundant number, since it is smaller than the sum of its proper divisors (524066033598864).

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

270115040321136 is a wasteful number, since it uses less digits than its factorization.

270115040321136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849292 (or 3849283 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 270115040321136 in words is "two hundred seventy trillion, one hundred fifteen billion, forty million, three hundred twenty-one thousand, one hundred thirty-six".