538101085939200 has 2400 divisors, whose sum is σ = 2326750437369600. Its totient is φ = 120277266923520.

The previous prime is 538101085939189. The next prime is 538101085939213. The reversal of 538101085939200 is 2939580101835.

538101085939200 is a `hidden beast` number, since 5 + 3 + 8 + 10 + 10 + 8 + 593 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 84355081611 + ... + 84355087989.

It is an arithmetic number, because the mean of its divisors is an integer number (969479348904).

Almost surely, 2^{538101085939200} is an apocalyptic number.

538101085939200 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 538101085939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163375218684800).

538101085939200 is an abundant number, since it is smaller than the sum of its proper divisors (1788649351430400).

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

538101085939200 is a wasteful number, since it uses less digits than its factorization.

538101085939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 538101085939200 in words is "five hundred thirty-eight trillion, one hundred one billion, eighty-five million, nine hundred thirty-nine thousand, two hundred".