5117320986624 has 1600 divisors, whose sum is σ = 19723534708680. Its totient is φ = 1310966415360.

The previous prime is 5117320986619. The next prime is 5117320986629. The reversal of 5117320986624 is 4266890237115.

It is a happy number.

5117320986624 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 3 + 2 + 0 + 9 + 8 + 6 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (5117320986619) and next prime (5117320986629).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117320986629) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 70100287452 + ... + 70100287524.

It is a 1-persistent number, because it is pandigital, but 2⋅5117320986624 = 10234641973248 is not.

Almost surely, 2^{5117320986624} is an apocalyptic number.

5117320986624 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 5117320986624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861767354340).

5117320986624 is an abundant number, since it is smaller than the sum of its proper divisors (14606213722056).

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

5117320986624 is an frugal number, since it uses more digits than its factorization.

5117320986624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5117320986624 in words is "five trillion, one hundred seventeen billion, three hundred twenty million, nine hundred eighty-six thousand, six hundred twenty-four".