540045792000 has 2880 divisors, whose sum is σ = 2489037078528. Its totient is φ = 114462720000.

The previous prime is 540045791977. The next prime is 540045792019. The reversal of 540045792000 is 297540045.

540045792000 is a `hidden beast` number, since 5 + 400 + 45 + 7 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11490335977 + ... + 11490336023.

Almost surely, 2^540045792000 is an apocalyptic number.

540045792000 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 540045792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244518539264).

540045792000 is an abundant number, since it is smaller than the sum of its proper divisors (1948991286528).

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

540045792000 is a wasteful number, since it uses less digits than its factorization.

540045792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 540045792000 in words is "five hundred forty billion, forty-five million, seven hundred ninety-two thousand".