5108515776000 has 4800 divisors, whose sum is σ = 25443051004800. Its totient is φ = 1014438297600.

The previous prime is 5108515775981. The next prime is 5108515776031. The reversal of 5108515776000 is 6775158015.

5108515776000 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 515 + 77 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 300500927992 + ... + 300500928008.

It is an arithmetic number, because the mean of its divisors is an integer number (5300635626).

Almost surely, 2^{5108515776000} is an apocalyptic number.

5108515776000 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 5108515776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721525502400).

5108515776000 is an abundant number, since it is smaller than the sum of its proper divisors (20334535228800).

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

5108515776000 is an equidigital number, since it uses as much as digits as its factorization.

5108515776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 47 counting only the distinct ones).

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

The spelling of 5108515776000 in words is "five trillion, one hundred eight billion, five hundred fifteen million, seven hundred seventy-six thousand".