5208807631104 has 576 divisors, whose sum is σ = 19243358023680. Its totient is φ = 1350177914880.

The previous prime is 5208807631103. The next prime is 5208807631129. The reversal of 5208807631104 is 4011367088025.

5208807631104 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 8 + 0 + 7 + 631 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 5208807631104.

It is not an unprimeable number, because it can be changed into a prime (5208807631103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267698944 + ... + 267718400.

It is an arithmetic number, because the mean of its divisors is an integer number (33408607680).

Almost surely, 2^{5208807631104} is an apocalyptic number.

5208807631104 is a gapful number since it is divisible by the number (54) 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 5208807631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9621679011840).

5208807631104 is an abundant number, since it is smaller than the sum of its proper divisors (14034550392576).

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

5208807631104 is a wasteful number, since it uses less digits than its factorization.

5208807631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20003 (or 19983 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5208807631104 in words is "five trillion, two hundred eight billion, eight hundred seven million, six hundred thirty-one thousand, one hundred four".