10046561280 has 704 divisors, whose sum is σ = 39220651008. Its totient is φ = 2146959360.

The previous prime is 10046561249. The next prime is 10046561303. The reversal of 10046561280 is 8216564001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189557734 + ... + 189557786.

It is an arithmetic number, because the mean of its divisors is an integer number (55711152).

Almost surely, 2^10046561280 is an apocalyptic number.

10046561280 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 10046561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19610325504).

10046561280 is an abundant number, since it is smaller than the sum of its proper divisors (29174089728).

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

10046561280 is a wasteful number, since it uses less digits than its factorization.

10046561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10046561280 in words is "ten billion, forty-six million, five hundred sixty-one thousand, two hundred eighty".