540572612000 has 96 divisors (see below), whose sum is σ = 1328612135760. Its totient is φ = 216159820800.

The previous prime is 540572611987. The next prime is 540572612017. The reversal of 540572612000 is 216275045.

It can be written as a sum of positive squares in 8 ways, for example, as 44162181904 + 496410430096 = 210148^2 + 704564^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13536062 + ... + 13575938.

Almost surely, 2^540572612000 is an apocalyptic number.

540572612000 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 540572612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664306067880).

540572612000 is an abundant number, since it is smaller than the sum of its proper divisors (788039523760).

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

540572612000 is a wasteful number, since it uses less digits than its factorization.

540572612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43291 (or 43273 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Adding to 540572612000 its reverse (216275045), we get a palindrome (540788887045).

The spelling of 540572612000 in words is "five hundred forty billion, five hundred seventy-two million, six hundred twelve thousand".