10879528800 has 432 divisors, whose sum is σ = 41806824192. Its totient is φ = 2449843200.

The previous prime is 10879528789. The next prime is 10879528813. The reversal of 10879528800 is 882597801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10879528800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8348949 + ... + 8350251.

It is an arithmetic number, because the mean of its divisors is an integer number (96775056).

Almost surely, 2^10879528800 is an apocalyptic number.

10879528800 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 10879528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903412096).

10879528800 is an abundant number, since it is smaller than the sum of its proper divisors (30927295392).

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

10879528800 is a wasteful number, since it uses less digits than its factorization.

10879528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 10879528800 in words is "ten billion, eight hundred seventy-nine million, five hundred twenty-eight thousand, eight hundred".