4835389507872 has 768 divisors, whose sum is σ = 16370823168000. Its totient is φ = 1238751360000.

The previous prime is 4835389507843. The next prime is 4835389507939. The reversal of 4835389507872 is 2787059835384.

It is a junction number, because it is equal to n+sod(n) for n = 4835389507797 and 4835389507806.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11540308879 + ... + 11540309297.

It is an arithmetic number, because the mean of its divisors is an integer number (21316176000).

Almost surely, 2^{4835389507872} is an apocalyptic number.

4835389507872 is a gapful number since it is divisible by the number (42) 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 4835389507872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185411584000).

4835389507872 is an abundant number, since it is smaller than the sum of its proper divisors (11535433660128).

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

4835389507872 is a wasteful number, since it uses less digits than its factorization.

4835389507872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 69.

The spelling of 4835389507872 in words is "four trillion, eight hundred thirty-five billion, three hundred eighty-nine million, five hundred seven thousand, eight hundred seventy-two".