270101464101072 has 60 divisors (see below), whose sum is σ = 764402317681860. Its totient is φ = 89022205392384.

The previous prime is 270101464101041. The next prime is 270101464101127.

270101464101072 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 0 + 1 + 4 + 641 + 0 + 1 + 0 + 7 + 2 = 666.

270101464101072 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 53613675602496 + 216487788498576 = 7322136^2 + 14713524^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10537653543 + ... + 10537679174.

It is an arithmetic number, because the mean of its divisors is an integer number (12740038628031).

Almost surely, 2^{270101464101072} is an apocalyptic number.

It is an amenable number.

270101464101072 is an abundant number, since it is smaller than the sum of its proper divisors (494300853580788).

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

270101464101072 is a wasteful number, since it uses less digits than its factorization.

270101464101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21075332820 (or 21075332811 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 270101464101072 in words is "two hundred seventy trillion, one hundred one billion, four hundred sixty-four million, one hundred one thousand, seventy-two".