540064355600 has 240 divisors, whose sum is σ = 1618966962816. Its totient is φ = 168196608000.

The previous prime is 540064355591. The next prime is 540064355617. The reversal of 540064355600 is 6553460045.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42528452 + ... + 42541148.

Almost surely, 2^540064355600 is an apocalyptic number.

540064355600 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 540064355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809483481408).

540064355600 is an abundant number, since it is smaller than the sum of its proper divisors (1078902607216).

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

540064355600 is a wasteful number, since it uses less digits than its factorization.

540064355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14103 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 540064355600 in words is "five hundred forty billion, sixty-four million, three hundred fifty-five thousand, six hundred".