10800641880 has 192 divisors, whose sum is σ = 41201259840. Its totient is φ = 2401975296.

The previous prime is 10800641851. The next prime is 10800641897. The reversal of 10800641880 is 8814600801.

10800641880 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 641 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35322 + ... + 151158.

It is an arithmetic number, because the mean of its divisors is an integer number (214589895).

Almost surely, 2^10800641880 is an apocalyptic number.

10800641880 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 10800641880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600629920).

10800641880 is an abundant number, since it is smaller than the sum of its proper divisors (30400617960).

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

10800641880 is a wasteful number, since it uses less digits than its factorization.

10800641880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115898 (or 115891 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10800641880 in words is "ten billion, eight hundred million, six hundred forty-one thousand, eight hundred eighty".