5038459873920 has 1280 divisors, whose sum is σ = 20469738199680. Its totient is φ = 1170227036160.

The previous prime is 5038459873891. The next prime is 5038459873933. The reversal of 5038459873920 is 293789548305.

5038459873920 is a `hidden beast` number, since 5 + 0 + 3 + 8 + 4 + 598 + 7 + 39 + 2 + 0 = 666.

It is a super-2 number, since 2×5038459873920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1299575022 + ... + 1299578898.

Almost surely, 2^{5038459873920} 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 5038459873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234869099840).

5038459873920 is an abundant number, since it is smaller than the sum of its proper divisors (15431278325760).

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

5038459873920 is a wasteful number, since it uses less digits than its factorization.

5038459873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5038459873920 in words is "five trillion, thirty-eight billion, four hundred fifty-nine million, eight hundred seventy-three thousand, nine hundred twenty".