540938703600 has 1080 divisors, whose sum is σ = 2063939546240. Its totient is φ = 136048896000.

The previous prime is 540938703589. The next prime is 540938703619. The reversal of 540938703600 is 6307839045.

540938703600 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 38 + 7 + 0 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×540938703600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4962740346 + ... + 4962740454.

Almost surely, 2^540938703600 is an apocalyptic number.

540938703600 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 540938703600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031969773120).

540938703600 is an abundant number, since it is smaller than the sum of its proper divisors (1523000842640).

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

540938703600 is a wasteful number, since it uses less digits than its factorization.

540938703600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 540938703600 in words is "five hundred forty billion, nine hundred thirty-eight million, seven hundred three thousand, six hundred".