5003802667008 has 960 divisors, whose sum is σ = 16542080755200. Its totient is φ = 1501467770880.

The previous prime is 5003802666997. The next prime is 5003802667009. The reversal of 5003802667008 is 8007662083005.

5003802667008 is a `hidden beast` number, since 5 + 0 + 0 + 380 + 266 + 7 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×5003802667008² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5003802667009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4536538585 + ... + 4536539687.

It is an arithmetic number, because the mean of its divisors is an integer number (17231334120).

Almost surely, 2^{5003802667008} is an apocalyptic number.

5003802667008 is a gapful number since it is divisible by the number (58) 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 5003802667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271040377600).

5003802667008 is an abundant number, since it is smaller than the sum of its proper divisors (11538278088192).

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

5003802667008 is a wasteful number, since it uses less digits than its factorization.

5003802667008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5003802667008 in words is "five trillion, three billion, eight hundred two million, six hundred sixty-seven thousand, eight".