540706236415600 has 60 divisors (see below), whose sum is σ = 1299048967698840. Its totient is φ = 216282122502400.

The previous prime is 540706236415591. The next prime is 540706236415601. The reversal of 540706236415600 is 6514632607045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540706236415601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460381110 + ... + 461554090.

It is an arithmetic number, because the mean of its divisors is an integer number (21650816128314).

Almost surely, 2^{540706236415600} is an apocalyptic number.

540706236415600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540706236415600 is an abundant number, since it is smaller than the sum of its proper divisors (758342731283240).

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

540706236415600 is a wasteful number, since it uses less digits than its factorization.

540706236415600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325418 (or 2325407 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 540706236415600 in words is "five hundred forty trillion, seven hundred six billion, two hundred thirty-six million, four hundred fifteen thousand, six hundred".