5105718670500 has 1536 divisors, whose sum is σ = 20542710988800. Its totient is φ = 1069915392000.

The previous prime is 5105718670489. The next prime is 5105718670553. The reversal of 5105718670500 is 50768175015.

5105718670500 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 71 + 8 + 6 + 70 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4360134915 + ... + 4360136085.

It is an arithmetic number, because the mean of its divisors is an integer number (13374160800).

Almost surely, 2^{5105718670500} is an apocalyptic number.

5105718670500 is a gapful number since it is divisible by the number (50) 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 5105718670500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271355494400).

5105718670500 is an abundant number, since it is smaller than the sum of its proper divisors (15436992318300).

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

5105718670500 is a wasteful number, since it uses less digits than its factorization.

5105718670500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 5105718670500 in words is "five trillion, one hundred five billion, seven hundred eighteen million, six hundred seventy thousand, five hundred".