273112040211372 has 72 divisors (see below), whose sum is σ = 695948046721200. Its totient is φ = 90302991788160.

The previous prime is 273112040211347. The next prime is 273112040211379.

273112040211372 is a `hidden beast` number, since 2 + 7 + 3 + 11 + 20 + 40 + 211 + 372 = 666.

273112040211372 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (273112040211379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30799254 + ... + 38662877.

It is an arithmetic number, because the mean of its divisors is an integer number (9665945093350).

Almost surely, 2^{273112040211372} is an apocalyptic number.

It is an amenable number.

273112040211372 is an abundant number, since it is smaller than the sum of its proper divisors (422836006509828).

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

273112040211372 is a wasteful number, since it uses less digits than its factorization.

273112040211372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69463023 (or 69463018 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 273112040211372 in words is "two hundred seventy-three trillion, one hundred twelve billion, forty million, two hundred eleven thousand, three hundred seventy-two".