540762784800000 has 5184 divisors, whose sum is σ = 2346320945848320. Its totient is φ = 109734912000000.

The previous prime is 540762784799987. The next prime is 540762784800053. The reversal of 540762784800000 is 8487267045.

It is a super-2 number, since 2×540762784800000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2562856799895 + ... + 2562856800105.

Almost surely, 2^{540762784800000} is an apocalyptic number.

540762784800000 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 540762784800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173160472924160).

540762784800000 is an abundant number, since it is smaller than the sum of its proper divisors (1805558161048320).

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

540762784800000 is a wasteful number, since it uses less digits than its factorization.

540762784800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 540762784800000 in words is "five hundred forty trillion, seven hundred sixty-two billion, seven hundred eighty-four million, eight hundred thousand".