5118671620608 has 1280 divisors, whose sum is σ = 18709802496000. Its totient is φ = 1205005713408.

The previous prime is 5118671620607. The next prime is 5118671620661. The reversal of 5118671620608 is 8060261768115.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (5118671620607) 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, 4065663883 + ... + 4065665141.

It is an arithmetic number, because the mean of its divisors is an integer number (14617033200).

Almost surely, 2^{5118671620608} is an apocalyptic number.

5118671620608 is a gapful number since it is divisible by the number (58) 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 5118671620608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354901248000).

5118671620608 is an abundant number, since it is smaller than the sum of its proper divisors (13591130875392).

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

5118671620608 is a wasteful number, since it uses less digits than its factorization.

5118671620608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 5118671620608 in words is "five trillion, one hundred eighteen billion, six hundred seventy-one million, six hundred twenty thousand, six hundred eight".