270061347668112 has 2400 divisors, whose sum is σ = 1133130296162304. Its totient is φ = 60078296678400.

The previous prime is 270061347668069. The next prime is 270061347668117. The reversal of 270061347668112 is 211866743160072.

270061347668112 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 613 + 4 + 7 + 6 + 6 + 8 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (270061347668117) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20355864903 + ... + 20355878169.

Almost surely, 2^{270061347668112} is an apocalyptic number.

270061347668112 is a gapful number since it is divisible by the number (22) 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 270061347668112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566565148081152).

270061347668112 is an abundant number, since it is smaller than the sum of its proper divisors (863068948494192).

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

270061347668112 is a wasteful number, since it uses less digits than its factorization.

270061347668112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13419 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 270061347668112 in words is "two hundred seventy trillion, sixty-one billion, three hundred forty-seven million, six hundred sixty-eight thousand, one hundred twelve".