5029313281920 has 1536 divisors, whose sum is σ = 19527888706560. Its totient is φ = 1186961817600.

The previous prime is 5029313281919. The next prime is 5029313281921. The reversal of 5029313281920 is 291823139205.

5029313281920 is a `hidden beast` number, since 5 + 0 + 293 + 1 + 328 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5029313281919) and next prime (5029313281921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5029313281921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29071174954 + ... + 29071175126.

It is an arithmetic number, because the mean of its divisors is an integer number (12713469210).

Almost surely, 2^{5029313281920} 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 5029313281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763944353280).

5029313281920 is an abundant number, since it is smaller than the sum of its proper divisors (14498575424640).

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

5029313281920 is a wasteful number, since it uses less digits than its factorization.

5029313281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 5029313281920 in words is "five trillion, twenty-nine billion, three hundred thirteen million, two hundred eighty-one thousand, nine hundred twenty".