10480847520 has 768 divisors, whose sum is σ = 41040857088. Its totient is φ = 2214051840.

The previous prime is 10480847501. The next prime is 10480847521. The reversal of 10480847520 is 2574808401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10480847521) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 156430527 + ... + 156430593.

It is an arithmetic number, because the mean of its divisors is an integer number (53438616).

Almost surely, 2^10480847520 is an apocalyptic number.

10480847520 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 10480847520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520428544).

10480847520 is an abundant number, since it is smaller than the sum of its proper divisors (30560009568).

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

10480847520 is a wasteful number, since it uses less digits than its factorization.

10480847520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 10480847520 in words is "ten billion, four hundred eighty million, eight hundred forty-seven thousand, five hundred twenty".