540106460020000 has 360 divisors, whose sum is σ = 1355579576851500. Its totient is φ = 211762777344000.

The previous prime is 540106460019979. The next prime is 540106460020019. The reversal of 540106460020000 is 20064601045.

It can be written as a sum of positive squares in 10 ways, for example, as 41537045365776 + 498569414654224 = 6444924^2 + 22328668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24297368886 + ... + 24297391114.

Almost surely, 2^{540106460020000} is an apocalyptic number.

540106460020000 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 540106460020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677789788425750).

540106460020000 is an abundant number, since it is smaller than the sum of its proper divisors (815473116831500).

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

540106460020000 is an equidigital number, since it uses as much as digits as its factorization.

540106460020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22726 (or 22644 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 540106460020000 in words is "five hundred forty trillion, one hundred six billion, four hundred sixty million, twenty thousand".