5038115544 has 512 divisors, whose sum is σ = 18662400000. Its totient is φ = 1219898880.

The previous prime is 5038115539. The next prime is 5038115549. The reversal of 5038115544 is 4455118305.

It is an interprime number because it is at equal distance from previous prime (5038115539) and next prime (5038115549).

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

It is a junction number, because it is equal to n+sod(n) for n = 5038115499 and 5038115508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038115549) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33812782 + ... + 33812930.

It is an arithmetic number, because the mean of its divisors is an integer number (36450000).

Almost surely, 2^5038115544 is an apocalyptic number.

5038115544 is a gapful number since it is divisible by the number (54) 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 5038115544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200000).

5038115544 is an abundant number, since it is smaller than the sum of its proper divisors (13624284456).

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

5038115544 is a wasteful number, since it uses less digits than its factorization.

5038115544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5038115544 is about 70979.6840229653. The cubic root of 5038115544 is about 1714.3100630113.

The spelling of 5038115544 in words is "five billion, thirty-eight million, one hundred fifteen thousand, five hundred forty-four".