540249244147872 has 1728 divisors, whose sum is σ = 2046635447141376. Its totient is φ = 139136343736320.

The previous prime is 540249244147861. The next prime is 540249244147919. The reversal of 540249244147872 is 278741442942045.

540249244147872 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 4 + 92 + 4 + 4 + 1 + 478 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19477551988 + ... + 19477579724.

It is an arithmetic number, because the mean of its divisors is an integer number (1184395513392).

Almost surely, 2^{540249244147872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540249244147872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023317723570688).

540249244147872 is an abundant number, since it is smaller than the sum of its proper divisors (1506386202993504).

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

540249244147872 is a wasteful number, since it uses less digits than its factorization.

540249244147872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27921 (or 27894 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 540249244147872 in words is "five hundred forty trillion, two hundred forty-nine billion, two hundred forty-four million, one hundred forty-seven thousand, eight hundred seventy-two".