5033029248000 has 2112 divisors, whose sum is σ = 21127674439872. Its totient is φ = 1140955545600.

The previous prime is 5033029247989. The next prime is 5033029248019. The reversal of 5033029248000 is 8429203305.

5033029248000 is a `hidden beast` number, since 503 + 30 + 29 + 24 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 4678880477184 + 354148770816 = 2163072^2 + 595104^2 .

It is a super-2 number, since 2×5033029248000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13493375814 + ... + 13493376186.

It is an arithmetic number, because the mean of its divisors is an integer number (10003633731).

Almost surely, 2^{5033029248000} is an apocalyptic number.

5033029248000 is a gapful number since it is divisible by the number (50) 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 5033029248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10563837219936).

5033029248000 is an abundant number, since it is smaller than the sum of its proper divisors (16094645191872).

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

5033029248000 is a wasteful number, since it uses less digits than its factorization.

5033029248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 5033029248000 in words is "five trillion, thirty-three billion, twenty-nine million, two hundred forty-eight thousand".