540533025300 has 288 divisors, whose sum is σ = 1617556469760. Its totient is φ = 139305420800.

The previous prime is 540533025299. The next prime is 540533025337. The reversal of 540533025300 is 3520335045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262012069 + ... + 262014131.

It is an arithmetic number, because the mean of its divisors is an integer number (5616515520).

Almost surely, 2^540533025300 is an apocalyptic number.

540533025300 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 540533025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808778234880).

540533025300 is an abundant number, since it is smaller than the sum of its proper divisors (1077023444460).

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

540533025300 is a wasteful number, since it uses less digits than its factorization.

540533025300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 540533025300 in words is "five hundred forty billion, five hundred thirty-three million, twenty-five thousand, three hundred".