10473529800080 has 160 divisors (see below), whose sum is σ = 26152279941600. Its totient is φ = 3886624014336.

The previous prime is 10473529800067. The next prime is 10473529800157. The reversal of 10473529800080 is 8000892537401.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 145584981136 + 10327944818944 = 381556^2 + 3213712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10473529799998 and 10473529800034.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169638656 + ... + 169700384.

It is an arithmetic number, because the mean of its divisors is an integer number (163451749635).

Almost surely, 2^{10473529800080} is an apocalyptic number.

10473529800080 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 10473529800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13076139970800).

10473529800080 is an abundant number, since it is smaller than the sum of its proper divisors (15678750141520).

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

10473529800080 is a wasteful number, since it uses less digits than its factorization.

10473529800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63541 (or 63535 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 10473529800080 in words is "ten trillion, four hundred seventy-three billion, five hundred twenty-nine million, eight hundred thousand, eighty".