10500980864480 has 96 divisors (see below), whose sum is σ = 24928402157568. Its totient is φ = 4180138099200.

The previous prime is 10500980864449. The next prime is 10500980864483. The reversal of 10500980864480 is 8446808900501.

It is a happy number.

It is a super-2 number, since 2×10500980864480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500980864483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38149745 + ... + 38424015.

It is an arithmetic number, because the mean of its divisors is an integer number (259670855808).

Almost surely, 2^{10500980864480} is an apocalyptic number.

10500980864480 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 10500980864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464201078784).

10500980864480 is an abundant number, since it is smaller than the sum of its proper divisors (14427421293088).

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

10500980864480 is a wasteful number, since it uses less digits than its factorization.

10500980864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275440 (or 275432 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 53.

The spelling of 10500980864480 in words is "ten trillion, five hundred billion, nine hundred eighty million, eight hundred sixty-four thousand, four hundred eighty".