10541802960 has 480 divisors, whose sum is σ = 40245424128. Its totient is φ = 2454589440.

The previous prime is 10541802949. The next prime is 10541802977. The reversal of 10541802960 is 6920814501.

10541802960 is a `hidden beast` number, since 10 + 541 + 80 + 29 + 6 + 0 = 666.

It is a super-2 number, since 2×10541802960² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 13637134 + ... + 13637906.

Almost surely, 2^10541802960 is an apocalyptic number.

10541802960 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 10541802960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122712064).

10541802960 is an abundant number, since it is smaller than the sum of its proper divisors (29703621168).

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

10541802960 is a wasteful number, since it uses less digits than its factorization.

10541802960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10541802960 in words is "ten billion, five hundred forty-one million, eight hundred two thousand, nine hundred sixty".