5118070164480 has 4224 divisors, whose sum is σ = 25156680192000. Its totient is φ = 978542788608.

The previous prime is 5118070164397. The next prime is 5118070164481. The reversal of 5118070164480 is 844610708115.

5118070164480 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 0 + 7 + 0 + 164 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5118070164481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 222524789749 + ... + 222524789771.

Almost surely, 2^{5118070164480} 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 5118070164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578340096000).

5118070164480 is an abundant number, since it is smaller than the sum of its proper divisors (20038610027520).

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

5118070164480 is a wasteful number, since it uses less digits than its factorization.

5118070164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 5118070164480 in words is "five trillion, one hundred eighteen billion, seventy million, one hundred sixty-four thousand, four hundred eighty".