5000713665948 has 864 divisors, whose sum is σ = 17703077962752. Its totient is φ = 1154829312000.

The previous prime is 5000713665929. The next prime is 5000713665949. The reversal of 5000713665948 is 8495663170005.

5000713665948 is a `hidden beast` number, since 500 + 0 + 7 + 1 + 36 + 65 + 9 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5000713665894 and 5000713665903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000713665949) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1785330148 + ... + 1785332948.

It is an arithmetic number, because the mean of its divisors is an integer number (20489673568).

Almost surely, 2^{5000713665948} 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 5000713665948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851538981376).

5000713665948 is an abundant number, since it is smaller than the sum of its proper divisors (12702364296804).

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

5000713665948 is a wasteful number, since it uses less digits than its factorization.

5000713665948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

It can be divided in two parts, 5000713 and 665948, that added together give a triangular number (5666661 = T₃₃₆₆).

The spelling of 5000713665948 in words is "five trillion, seven hundred thirteen million, six hundred sixty-five thousand, nine hundred forty-eight".