540311152000 has 256 divisors, whose sum is σ = 1390377830400. Its totient is φ = 208595712000.

The previous prime is 540311151977. The next prime is 540311152001. The reversal of 540311152000 is 251113045.

It is a happy number.

It is a super-2 number, since 2×540311152000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540311152001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219726771 + ... + 219729229.

It is an arithmetic number, because the mean of its divisors is an integer number (5431163400).

Almost surely, 2^540311152000 is an apocalyptic number.

540311152000 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 540311152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695188915200).

540311152000 is an abundant number, since it is smaller than the sum of its proper divisors (850066678400).

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

540311152000 is a wasteful number, since it uses less digits than its factorization.

540311152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 540311152000 its reverse (251113045), we get a palindrome (540562265045).

The spelling of 540311152000 in words is "five hundred forty billion, three hundred eleven million, one hundred fifty-two thousand".