538943641600 has 576 divisors, whose sum is σ = 1659051313920. Its totient is φ = 169073049600.

The previous prime is 538943641549. The next prime is 538943641651. The reversal of 538943641600 is 6146349835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (538943641549) and next prime (538943641651).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610354759 + ... + 610355641.

It is an arithmetic number, because the mean of its divisors is an integer number (2880297420).

Almost surely, 2^538943641600 is an apocalyptic number.

538943641600 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 538943641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829525656960).

538943641600 is an abundant number, since it is smaller than the sum of its proper divisors (1120107672320).

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

538943641600 is a wasteful number, since it uses less digits than its factorization.

538943641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 538943641600 in words is "five hundred thirty-eight billion, nine hundred forty-three million, six hundred forty-one thousand, six hundred".