270485898117120 has 2160 divisors, whose sum is σ = 1178501182971840. Its totient is φ = 58174803542016.

The previous prime is 270485898117067. The next prime is 270485898117139. The reversal of 270485898117120 is 21711898584072.

270485898117120 is a `hidden beast` number, since 2 + 7 + 0 + 48 + 589 + 8 + 1 + 1 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×270485898117120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63959775166 + ... + 63959779394.

It is an arithmetic number, because the mean of its divisors is an integer number (545602399524).

Almost surely, 2^{270485898117120} is an apocalyptic number.

270485898117120 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 270485898117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589250591485920).

270485898117120 is an abundant number, since it is smaller than the sum of its proper divisors (908015284854720).

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

270485898117120 is an frugal number, since it uses more digits than its factorization.

270485898117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 270485898117120 in words is "two hundred seventy trillion, four hundred eighty-five billion, eight hundred ninety-eight million, one hundred seventeen thousand, one hundred twenty".