540353735000 has 80 divisors (see below), whose sum is σ = 1300266781440. Its totient is φ = 210299760000.

The previous prime is 540353734951. The next prime is 540353735003. The reversal of 540353735000 is 537353045.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540353735003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1275416 + ... + 1645415.

It is an arithmetic number, because the mean of its divisors is an integer number (16253334768).

Almost surely, 2^540353735000 is an apocalyptic number.

540353735000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540353735000 is an abundant number, since it is smaller than the sum of its proper divisors (759913046440).

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

540353735000 is a wasteful number, since it uses less digits than its factorization.

540353735000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920894 (or 2920875 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 35.

The spelling of 540353735000 in words is "five hundred forty billion, three hundred fifty-three million, seven hundred thirty-five thousand".