10801909080 has 144 divisors (see below), whose sum is σ = 36276355440. Its totient is φ = 2787500160.

The previous prime is 10801909073. The next prime is 10801909081. The reversal of 10801909080 is 8090910801.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10801909081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330349 + ... + 361571.

It is an arithmetic number, because the mean of its divisors is an integer number (251919135).

Almost surely, 2^10801909080 is an apocalyptic number.

10801909080 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 10801909080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138177720).

10801909080 is an abundant number, since it is smaller than the sum of its proper divisors (25474446360).

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

10801909080 is a wasteful number, since it uses less digits than its factorization.

10801909080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31302 (or 31264 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 10801909080 in words is "ten billion, eight hundred one million, nine hundred nine thousand, eighty".