5003509625856 has 924 divisors, whose sum is σ = 17921046377028. Its totient is φ = 1390560804864.

The previous prime is 5003509625809. The next prime is 5003509625857. The reversal of 5003509625856 is 6585269053005.

5003509625856 is a `hidden beast` number, since 5 + 0 + 0 + 3 + 5 + 0 + 9 + 625 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2434798227456 + 2568711398400 = 1560384^2 + 1602720^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003509625857) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1353395400 + ... + 1353399096.

Almost surely, 2^{5003509625856} is an apocalyptic number.

5003509625856 is a gapful number since it is divisible by the number (56) 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 5003509625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960523188514).

5003509625856 is an abundant number, since it is smaller than the sum of its proper divisors (12917536751172).

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

5003509625856 is an equidigital number, since it uses as much as digits as its factorization.

5003509625856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 5003509625856 in words is "five trillion, three billion, five hundred nine million, six hundred twenty-five thousand, eight hundred fifty-six".