540726988800 has 312 divisors, whose sum is σ = 1881899942560. Its totient is φ = 136603238400.

The previous prime is 540726988777. The next prime is 540726988801. The reversal of 540726988800 is 8889627045.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (540726988801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5790480 + ... + 5883120.

Almost surely, 2^540726988800 is an apocalyptic number.

540726988800 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 540726988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940949971280).

540726988800 is an abundant number, since it is smaller than the sum of its proper divisors (1341172953760).

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

540726988800 is a wasteful number, since it uses less digits than its factorization.

540726988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92697 (or 92670 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 540726988800 in words is "five hundred forty billion, seven hundred twenty-six million, nine hundred eighty-eight thousand, eight hundred".