540512452000 has 192 divisors, whose sum is σ = 1352381546880. Its totient is φ = 212252160000.

The previous prime is 540512451979. The next prime is 540512452031. The reversal of 540512452000 is 254215045.

It is a self number, because there is not a number n which added to its sum of digits gives 540512452000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283435047 + ... + 283436953.

It is an arithmetic number, because the mean of its divisors is an integer number (7043653890).

Almost surely, 2^540512452000 is an apocalyptic number.

540512452000 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 540512452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676190773440).

540512452000 is an abundant number, since it is smaller than the sum of its proper divisors (811869094880).

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

540512452000 is a wasteful number, since it uses less digits than its factorization.

540512452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

Adding to 540512452000 its reverse (254215045), we get a palindrome (540766667045).

The spelling of 540512452000 in words is "five hundred forty billion, five hundred twelve million, four hundred fifty-two thousand".