10801517460 has 96 divisors (see below), whose sum is σ = 32143184640. Its totient is φ = 2700822528.

The previous prime is 10801517437. The next prime is 10801517497. The reversal of 10801517460 is 6471510801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254697 + ... + 294063.

It is an arithmetic number, because the mean of its divisors is an integer number (334824840).

Almost surely, 2^10801517460 is an apocalyptic number.

10801517460 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 10801517460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071592320).

10801517460 is an abundant number, since it is smaller than the sum of its proper divisors (21341667180).

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

10801517460 is a wasteful number, since it uses less digits than its factorization.

10801517460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39665 (or 39663 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10801517460 in words is "ten billion, eight hundred one million, five hundred seventeen thousand, four hundred sixty".