5285331767100 has 288 divisors, whose sum is σ = 19073030247936. Its totient is φ = 1097824665600.

The previous prime is 5285331767081. The next prime is 5285331767113. The reversal of 5285331767100 is 17671335825.

It is a self number, because there is not a number n which added to its sum of digits gives 5285331767100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61333644 + ... + 61419756.

It is an arithmetic number, because the mean of its divisors is an integer number (66225799472).

Almost surely, 2^{5285331767100} is an apocalyptic number.

5285331767100 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 5285331767100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536515123968).

5285331767100 is an abundant number, since it is smaller than the sum of its proper divisors (13787698480836).

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

5285331767100 is a wasteful number, since it uses less digits than its factorization.

5285331767100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88805 (or 88798 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 5285331767100 in words is "five trillion, two hundred eighty-five billion, three hundred thirty-one million, seven hundred sixty-seven thousand, one hundred".