10010048517336 has 128 divisors (see below), whose sum is σ = 29211881472000. Its totient is φ = 2798853036672.

The previous prime is 10010048517331. The next prime is 10010048517349. The reversal of 10010048517336 is 63371584001001.

It is a junction number, because it is equal to n+sod(n) for n = 10010048517294 and 10010048517303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010048517331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76676005 + ... + 76806443.

It is an arithmetic number, because the mean of its divisors is an integer number (228217824000).

Almost surely, 2^{10010048517336} 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 10010048517336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605940736000).

10010048517336 is an abundant number, since it is smaller than the sum of its proper divisors (19201832954664).

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

10010048517336 is a wasteful number, since it uses less digits than its factorization.

10010048517336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140221 (or 140217 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10010048517336 in words is "ten trillion, ten billion, forty-eight million, five hundred seventeen thousand, three hundred thirty-six".