5010505106048 has 128 divisors (see below), whose sum is σ = 10929060912000. Its totient is φ = 2273977774080.

The previous prime is 5010505105997. The next prime is 5010505106071. The reversal of 5010505106048 is 8406015050105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5010505106048² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5010505105999 and 5010505106017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629219315 + ... + 629227277.

It is an arithmetic number, because the mean of its divisors is an integer number (85383288375).

Almost surely, 2^{5010505106048} 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 5010505106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464530456000).

5010505106048 is an abundant number, since it is smaller than the sum of its proper divisors (5918555805952).

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

5010505106048 is a wasteful number, since it uses less digits than its factorization.

5010505106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14250 (or 14238 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 5010505106048 in words is "five trillion, ten billion, five hundred five million, one hundred six thousand, forty-eight".