5085436185504 has 168 divisors, whose sum is σ = 15191923777632. Its totient is φ = 1674721319040.

The previous prime is 5085436185499. The next prime is 5085436185517. The reversal of 5085436185504 is 4055816345805.

5085436185504 is a `hidden beast` number, since 5 + 0 + 8 + 54 + 3 + 6 + 1 + 85 + 504 = 666.

It is a super-2 number, since 2×5085436185504² (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 27 ways as a sum of consecutive naturals, for example, 622989 + ... + 3249459.

It is an arithmetic number, because the mean of its divisors is an integer number (90428117724).

Almost surely, 2^{5085436185504} is an apocalyptic number.

5085436185504 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 5085436185504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595961888816).

5085436185504 is an abundant number, since it is smaller than the sum of its proper divisors (10106487592128).

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

5085436185504 is an equidigital number, since it uses as much as digits as its factorization.

5085436185504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626582 (or 2626559 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 5085436185504 in words is "five trillion, eighty-five billion, four hundred thirty-six million, one hundred eighty-five thousand, five hundred four".