540011032000 has 224 divisors, whose sum is σ = 1468611256320. Its totient is φ = 195062400000.

The previous prime is 540011031961. The next prime is 540011032037. The reversal of 540011032000 is 230110045.

It is a super-2 number, since 2×540011032000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 13267681 + ... + 13308319.

Almost surely, 2^540011032000 is an apocalyptic number.

540011032000 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 540011032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734305628160).

540011032000 is an abundant number, since it is smaller than the sum of its proper divisors (928600224320).

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

540011032000 is a wasteful number, since it uses less digits than its factorization.

540011032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40828 (or 40808 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 540011032000 its reverse (230110045), we get a palindrome (540241142045).

The spelling of 540011032000 in words is "five hundred forty billion, eleven million, thirty-two thousand".