540103322253996 has 192 divisors, whose sum is σ = 1425629413877760. Its totient is φ = 176783807819520.

The previous prime is 540103322253973. The next prime is 540103322254009. The reversal of 540103322253996 is 699352223301045.

540103322253996 is a `hidden beast` number, since 5 + 4 + 0 + 10 + 3 + 3 + 2 + 2 + 2 + 539 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16892465866 + ... + 16892497838.

It is an arithmetic number, because the mean of its divisors is an integer number (7425153197280).

Almost surely, 2^{540103322253996} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540103322253996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712814706938880).

540103322253996 is an abundant number, since it is smaller than the sum of its proper divisors (885526091623764).

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

540103322253996 is a wasteful number, since it uses less digits than its factorization.

540103322253996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36301 (or 36293 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 540103322253996 in words is "five hundred forty trillion, one hundred three billion, three hundred twenty-two million, two hundred fifty-three thousand, nine hundred ninety-six".