4596135385800 has 768 divisors, whose sum is σ = 17018910720000. Its totient is φ = 1004028825600.

The previous prime is 4596135385783. The next prime is 4596135385819. The reversal of 4596135385800 is 85835316954.

It is a super-2 number, since 2×4596135385800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4144395646 + ... + 4144396754.

It is an arithmetic number, because the mean of its divisors is an integer number (22160040000).

Almost surely, 2^{4596135385800} is an apocalyptic number.

4596135385800 is a gapful number since it is divisible by the number (40) 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 4596135385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509455360000).

4596135385800 is an abundant number, since it is smaller than the sum of its proper divisors (12422775334200).

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

4596135385800 is a wasteful number, since it uses less digits than its factorization.

4596135385800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 4596135385800 in words is "four trillion, five hundred ninety-six billion, one hundred thirty-five million, three hundred eighty-five thousand, eight hundred".