10800709920 has 1152 divisors, whose sum is σ = 50721914880. Its totient is φ = 2020515840.

The previous prime is 10800709889. The next prime is 10800709939. The reversal of 10800709920 is 2990700801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85044897 + ... + 85045023.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^10800709920 is an apocalyptic number.

10800709920 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 10800709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

10800709920 is an abundant number, since it is smaller than the sum of its proper divisors (39921204960).

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

10800709920 is a wasteful number, since it uses less digits than its factorization.

10800709920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10800709920 in words is "ten billion, eight hundred million, seven hundred nine thousand, nine hundred twenty".