540396748800 has 600 divisors, whose sum is σ = 2005934460750. Its totient is φ = 143822684160.

The previous prime is 540396748789. The next prime is 540396748807. The reversal of 540396748800 is 8847693045.

540396748800 is a `hidden beast` number, since 5 + 403 + 96 + 74 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 471408574464 + 68988174336 = 686592^2 + 262656^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×540396748800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (540396748807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1061682946 + ... + 1061683454.

Almost surely, 2^540396748800 is an apocalyptic number.

540396748800 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 540396748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002967230375).

540396748800 is an abundant number, since it is smaller than the sum of its proper divisors (1465537711950).

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

540396748800 is an frugal number, since it uses more digits than its factorization.

540396748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 540396748800 in words is "five hundred forty billion, three hundred ninety-six million, seven hundred forty-eight thousand, eight hundred".