540908928000 has 1760 divisors, whose sum is σ = 2392537530240. Its totient is φ = 118908518400.

The previous prime is 540908927983. The next prime is 540908928013. The reversal of 540908928000 is 829809045.

540908928000 is a `hidden beast` number, since 540 + 9 + 0 + 89 + 28 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2104703872 + ... + 2104704128.

It is an arithmetic number, because the mean of its divisors is an integer number (1359396324).

Almost surely, 2^540908928000 is an apocalyptic number.

540908928000 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 540908928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196268765120).

540908928000 is an abundant number, since it is smaller than the sum of its proper divisors (1851628602240).

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

540908928000 is a wasteful number, since it uses less digits than its factorization.

540908928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 540908928000 in words is "five hundred forty billion, nine hundred eight million, nine hundred twenty-eight thousand".