5508137714688 has 704 divisors, whose sum is σ = 19793836270080. Its totient is φ = 1477098602496.

The previous prime is 5508137714687. The next prime is 5508137714699. The reversal of 5508137714688 is 8864177318055.

5508137714688 is a `hidden beast` number, since 5 + 508 + 1 + 3 + 7 + 7 + 1 + 46 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5508137714687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1306172356 + ... + 1306176572.

Almost surely, 2^{5508137714688} 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 5508137714688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896918135040).

5508137714688 is an abundant number, since it is smaller than the sum of its proper divisors (14285698555392).

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

5508137714688 is a wasteful number, since it uses less digits than its factorization.

5508137714688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 5508137714688 in words is "five trillion, five hundred eight billion, one hundred thirty-seven million, seven hundred fourteen thousand, six hundred eighty-eight".