10876005488600 has 144 divisors (see below), whose sum is σ = 29586809023920. Its totient is φ = 3642196320000.

The previous prime is 10876005488567. The next prime is 10876005488659. The reversal of 10876005488600 is 688450067801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487850 + ... + 4689350.

It is an arithmetic number, because the mean of its divisors is an integer number (205463951555).

Almost surely, 2^{10876005488600} is an apocalyptic number.

10876005488600 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 10876005488600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793404511960).

10876005488600 is an abundant number, since it is smaller than the sum of its proper divisors (18710803535320).

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

10876005488600 is a wasteful number, since it uses less digits than its factorization.

10876005488600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201610 (or 4201558 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 10876005488600 in words is "ten trillion, eight hundred seventy-six billion, five million, four hundred eighty-eight thousand, six hundred".