10801281420 has 192 divisors, whose sum is σ = 35042918400. Its totient is φ = 2758613760.

The previous prime is 10801281419. The next prime is 10801281427. The reversal of 10801281420 is 2418210801.

10801281420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10801281427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1986105 + ... + 1991535.

It is an arithmetic number, because the mean of its divisors is an integer number (182515200).

Almost surely, 2^10801281420 is an apocalyptic number.

10801281420 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 10801281420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521459200).

10801281420 is an abundant number, since it is smaller than the sum of its proper divisors (24241636980).

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

10801281420 is a wasteful number, since it uses less digits than its factorization.

10801281420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 10801281420 in words is "ten billion, eight hundred one million, two hundred eighty-one thousand, four hundred twenty".