540320174120272 has 160 divisors (see below), whose sum is σ = 1295559090911232. Its totient is φ = 212576573325312.

The previous prime is 540320174120267. The next prime is 540320174120303. The reversal of 540320174120272 is 272021471023045.

It is a super-2 number, since 2×540320174120272² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316368528 + ... + 318071824.

Almost surely, 2^{540320174120272} is an apocalyptic number.

540320174120272 is a gapful number since it is divisible by the number (52) 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 540320174120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647779545455616).

540320174120272 is an abundant number, since it is smaller than the sum of its proper divisors (755238916790960).

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

540320174120272 is a wasteful number, since it uses less digits than its factorization.

540320174120272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704525 (or 1704519 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 540320174120272 in words is "five hundred forty trillion, three hundred twenty billion, one hundred seventy-four million, one hundred twenty thousand, two hundred seventy-two".