10541086560 has 72 divisors (see below), whose sum is σ = 35971462800. Its totient is φ = 2810956032.

The previous prime is 10541086541. The next prime is 10541086579. The reversal of 10541086560 is 6568014501.

10541086560 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 10 + 86 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (10541086541) and next prime (10541086579).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10541086560² (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 11 ways as a sum of consecutive naturals, for example, 3658660 + ... + 3661539.

It is an arithmetic number, because the mean of its divisors is an integer number (499603650).

Almost surely, 2^10541086560 is an apocalyptic number.

10541086560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10541086560 is an abundant number, since it is smaller than the sum of its proper divisors (25430376240).

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

10541086560 is a wasteful number, since it uses less digits than its factorization.

10541086560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320220 (or 7320209 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10541086560 in words is "ten billion, five hundred forty-one million, eighty-six thousand, five hundred sixty".