540098885289600 has 1728 divisors, whose sum is σ = 2415320159616000. Its totient is φ = 113906325012480.

The previous prime is 540098885289569. The next prime is 540098885289641. The reversal of 540098885289600 is 6982588890045.

540098885289600 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 9 + 8 + 8 + 8 + 5 + 2 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 57219921681 + ... + 57219931119.

It is an arithmetic number, because the mean of its divisors is an integer number (1397754722000).

Almost surely, 2^{540098885289600} is an apocalyptic number.

540098885289600 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 540098885289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207660079808000).

540098885289600 is an abundant number, since it is smaller than the sum of its proper divisors (1875221274326400).

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

540098885289600 is a wasteful number, since it uses less digits than its factorization.

540098885289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 540098885289600 in words is "five hundred forty trillion, ninety-eight billion, eight hundred eighty-five million, two hundred eighty-nine thousand, six hundred".