10048660160 has 224 divisors, whose sum is σ = 30471026688. Its totient is φ = 3065057280.

The previous prime is 10048660159. The next prime is 10048660163. The reversal of 10048660160 is 6106684001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10048660160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10048660163) 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, 1153742 + ... + 1162418.

Almost surely, 2^10048660160 is an apocalyptic number.

10048660160 is a gapful number since it is divisible by the number (10) 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 10048660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235513344).

10048660160 is an abundant number, since it is smaller than the sum of its proper divisors (20422366528).

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

10048660160 is a wasteful number, since it uses less digits than its factorization.

10048660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8759 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10048660160 in words is "ten billion, forty-eight million, six hundred sixty thousand, one hundred sixty".