10878576800 has 576 divisors, whose sum is σ = 34962762240. Its totient is φ = 3211591680.

The previous prime is 10878576791. The next prime is 10878576803. The reversal of 10878576800 is 867587801.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (10878576803) 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 95 ways as a sum of consecutive naturals, for example, 122231156 + ... + 122231244.

It is an arithmetic number, because the mean of its divisors is an integer number (60699240).

Almost surely, 2^10878576800 is an apocalyptic number.

10878576800 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 10878576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481381120).

10878576800 is an abundant number, since it is smaller than the sum of its proper divisors (24084185440).

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

10878576800 is a wasteful number, since it uses less digits than its factorization.

10878576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 50.

The spelling of 10878576800 in words is "ten billion, eight hundred seventy-eight million, five hundred seventy-six thousand, eight hundred".