538631072179200 has 6336 divisors, whose sum is σ = 2738572547639040. Its totient is φ = 103238605209600.

The previous prime is 538631072179199. The next prime is 538631072179303. The reversal of 538631072179200 is 2971270136835.

538631072179200 is a `hidden beast` number, since 5 + 38 + 6 + 310 + 7 + 21 + 79 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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 575 ways as a sum of consecutive naturals, for example, 392302309714 + ... + 392302311086.

Almost surely, 2^{538631072179200} is an apocalyptic number.

538631072179200 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 538631072179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369286273819520).

538631072179200 is an abundant number, since it is smaller than the sum of its proper divisors (2199941475459840).

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

538631072179200 is a wasteful number, since it uses less digits than its factorization.

538631072179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 538631072179200 in words is "five hundred thirty-eight trillion, six hundred thirty-one billion, seventy-two million, one hundred seventy-nine thousand, two hundred".