273125476495872 has 3840 divisors, whose sum is σ = 1160284937011200. Its totient is φ = 61842834063360.

The previous prime is 273125476495747. The next prime is 273125476495961. The reversal of 273125476495872 is 278594674521372.

273125476495872 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 2 + 54 + 7 + 6 + 495 + 87 + 2 = 666.

It is a super-2 number, since 2×273125476495872² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 273125476495872.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 169748586204 + ... + 169748587812.

It is an arithmetic number, because the mean of its divisors is an integer number (302157535680).

Almost surely, 2^{273125476495872} is an apocalyptic number.

273125476495872 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 273125476495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580142468505600).

273125476495872 is an abundant number, since it is smaller than the sum of its proper divisors (887159460515328).

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

273125476495872 is a wasteful number, since it uses less digits than its factorization.

273125476495872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1721 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 72.

The spelling of 273125476495872 in words is "two hundred seventy-three trillion, one hundred twenty-five billion, four hundred seventy-six million, four hundred ninety-five thousand, eight hundred seventy-two".