4135885258500 has 768 divisors, whose sum is σ = 14672454451200. Its totient is φ = 1001984256000.

The previous prime is 4135885258489. The next prime is 4135885258513. The reversal of 4135885258500 is 58525885314.

4135885258500 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 8 + 8 + 52 + 585 + 0 + 0 = 666.

It is a super-2 number, since 2×4135885258500² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 898517199 + ... + 898521801.

It is an arithmetic number, because the mean of its divisors is an integer number (19104758400).

Almost surely, 2^{4135885258500} 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 4135885258500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336227225600).

4135885258500 is an abundant number, since it is smaller than the sum of its proper divisors (10536569192700).

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

4135885258500 is a wasteful number, since it uses less digits than its factorization.

4135885258500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 4135885258500 in words is "four trillion, one hundred thirty-five billion, eight hundred eighty-five million, two hundred fifty-eight thousand, five hundred".