5105061010008 has 160 divisors (see below), whose sum is σ = 14794623874800. Its totient is φ = 1642712617728.

The previous prime is 5105061009959. The next prime is 5105061010097. The reversal of 5105061010008 is 8000101605015.

5105061010008 is a `hidden beast` number, since 51 + 0 + 506 + 1 + 0 + 100 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120191191 + ... + 120233657.

Almost surely, 2^{5105061010008} is an apocalyptic number.

5105061010008 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 5105061010008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397311937400).

5105061010008 is an abundant number, since it is smaller than the sum of its proper divisors (9689562864792).

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

5105061010008 is a wasteful number, since it uses less digits than its factorization.

5105061010008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48911 (or 48898 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 5105061010008 in words is "five trillion, one hundred five billion, sixty-one million, ten thousand, eight".