540252524221200 has 540 divisors, whose sum is σ = 2181274983827940. Its totient is φ = 123466215720960.

The previous prime is 540252524221141. The next prime is 540252524221229. The reversal of 540252524221200 is 2122425252045.

540252524221200 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 5 + 2 + 524 + 2 + 2 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4047001264656 + 536205522956544 = 2011716^2 + 23156112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1098549762 + ... + 1099041438.

Almost surely, 2^{540252524221200} is an apocalyptic number.

540252524221200 is a gapful number since it is divisible by the number (50) 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 540252524221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090637491913970).

540252524221200 is an abundant number, since it is smaller than the sum of its proper divisors (1641022459606740).

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

540252524221200 is a wasteful number, since it uses less digits than its factorization.

540252524221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497944 (or 497923 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 540252524221200 its reverse (2122425252045), we get a palindrome (542374949473245).

The spelling of 540252524221200 in words is "five hundred forty trillion, two hundred fifty-two billion, five hundred twenty-four million, two hundred twenty-one thousand, two hundred".