538992039075840 has 2016 divisors, whose sum is σ = 2284959547765440. Its totient is φ = 121502507728896.

The previous prime is 538992039075827. The next prime is 538992039075877. The reversal of 538992039075840 is 48570930299835.

538992039075840 is a `hidden beast` number, since 5 + 3 + 8 + 9 + 9 + 2 + 0 + 39 + 0 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35602874991 + ... + 35602890129.

It is an arithmetic number, because the mean of its divisors is an integer number (1133412474090).

Almost surely, 2^{538992039075840} 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 538992039075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142479773882720).

538992039075840 is an abundant number, since it is smaller than the sum of its proper divisors (1745967508689600).

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

538992039075840 is an equidigital number, since it uses as much as digits as its factorization.

538992039075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15272 (or 15229 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 538992039075840 in words is "five hundred thirty-eight trillion, nine hundred ninety-two billion, thirty-nine million, seventy-five thousand, eight hundred forty".