10873589760 has 624 divisors, whose sum is σ = 42688608768. Its totient is φ = 2536243200.

The previous prime is 10873589747. The next prime is 10873589767. The reversal of 10873589760 is 6798537801.

It is a junction number, because it is equal to n+sod(n) for n = 10873589697 and 10873589706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10873589767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62853034 + ... + 62853206.

It is an arithmetic number, because the mean of its divisors is an integer number (68411232).

Almost surely, 2^10873589760 is an apocalyptic number.

10873589760 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 10873589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344304384).

10873589760 is an abundant number, since it is smaller than the sum of its proper divisors (31815019008).

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

10873589760 is a wasteful number, since it uses less digits than its factorization.

10873589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10873589760 in words is "ten billion, eight hundred seventy-three million, five hundred eighty-nine thousand, seven hundred sixty".