540541315350 has 144 divisors (see below), whose sum is σ = 1486356438528. Its totient is φ = 140772784320.

The previous prime is 540541315339. The next prime is 540541315357. The reversal of 540541315350 is 53513145045.

540541315350 is a `hidden beast` number, since 5 + 40 + 5 + 413 + 153 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540541315357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9849687 + ... + 9904413.

It is an arithmetic number, because the mean of its divisors is an integer number (10321919712).

Almost surely, 2^540541315350 is an apocalyptic number.

540541315350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540541315350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743178219264).

540541315350 is an abundant number, since it is smaller than the sum of its proper divisors (945815123178).

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

540541315350 is a wasteful number, since it uses less digits than its factorization.

540541315350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55259 (or 55251 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 540541315350 in words is "five hundred forty billion, five hundred forty-one million, three hundred fifteen thousand, three hundred fifty".