540279972045 has 64 divisors (see below), whose sum is σ = 1081616302080. Its totient is φ = 253503777600.

The previous prime is 540279972017. The next prime is 540279972073.

540279972045 is a `hidden beast` number, since 540 + 2 + 7 + 9 + 97 + 2 + 0 + 4 + 5 = 666.

540279972045 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (540279972017) and next prime (540279972073).

It is not a de Polignac number, because 540279972045 - 2¹⁴ = 540279955661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540279971982 and 540279972000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5822109 + ... + 5914178.

It is an arithmetic number, because the mean of its divisors is an integer number (16900254720).

Almost surely, 2^540279972045 is an apocalyptic number.

540279972045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540279972045 is an abundant number, since it is smaller than the sum of its proper divisors (541336330035).

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

540279972045 is a wasteful number, since it uses less digits than its factorization.

540279972045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736343 (or 11736337 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 540279972045 in words is "five hundred forty billion, two hundred seventy-nine million, nine hundred seventy-two thousand, forty-five".