540084172800 has 288 divisors, whose sum is σ = 1790015900400. Its totient is φ = 143653601280.

The previous prime is 540084172799. The next prime is 540084172909. The reversal of 540084172800 is 8271480045.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62818102 + ... + 62826698.

Almost surely, 2^540084172800 is an apocalyptic number.

540084172800 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 540084172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895007950200).

540084172800 is an abundant number, since it is smaller than the sum of its proper divisors (1249931727600).

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

540084172800 is a wasteful number, since it uses less digits than its factorization.

540084172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 540084172800 in words is "five hundred forty billion, eighty-four million, one hundred seventy-two thousand, eight hundred".