538948317600 has 1152 divisors, whose sum is σ = 2508799426560. Its totient is φ = 108366336000.

The previous prime is 538948317521. The next prime is 538948317601. The reversal of 538948317600 is 6713849835.

538948317600 is a `hidden beast` number, since 538 + 9 + 4 + 8 + 31 + 76 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (538948317601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51553974 + ... + 51564426.

It is an arithmetic number, because the mean of its divisors is an integer number (2177777280).

Almost surely, 2^538948317600 is an apocalyptic number.

538948317600 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 538948317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254399713280).

538948317600 is an abundant number, since it is smaller than the sum of its proper divisors (1969851108960).

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

538948317600 is a wasteful number, since it uses less digits than its factorization.

538948317600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 538948317600 in words is "five hundred thirty-eight billion, nine hundred forty-eight million, three hundred seventeen thousand, six hundred".