10801135800 has 1152 divisors, whose sum is σ = 48356904960. Its totient is φ = 2098483200.

The previous prime is 10801135747. The next prime is 10801135837. The reversal of 10801135800 is 853110801.

10801135800 is a `hidden beast` number, since 1 + 0 + 80 + 1 + 1 + 3 + 580 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 177067770 + ... + 177067830.

It is an arithmetic number, because the mean of its divisors is an integer number (41976480).

Almost surely, 2^10801135800 is an apocalyptic number.

10801135800 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 10801135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178452480).

10801135800 is an abundant number, since it is smaller than the sum of its proper divisors (37555769160).

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

10801135800 is a wasteful number, since it uses less digits than its factorization.

10801135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10801135800 in words is "ten billion, eight hundred one million, one hundred thirty-five thousand, eight hundred".