10941262560 has 432 divisors, whose sum is σ = 40406288832. Its totient is φ = 2694758400.

The previous prime is 10941262559. The next prime is 10941262561. The reversal of 10941262560 is 6526214901.

10941262560 is a `hidden beast` number, since 1 + 0 + 94 + 1 + 2 + 6 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (10941262559) and next prime (10941262561).

It is a super-2 number, since 2×10941262560² (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 not an unprimeable number, because it can be changed into a prime (10941262561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25385545 + ... + 25385975.

It is an arithmetic number, because the mean of its divisors is an integer number (93533076).

Almost surely, 2^10941262560 is an apocalyptic number.

10941262560 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 10941262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20203144416).

10941262560 is an abundant number, since it is smaller than the sum of its proper divisors (29465026272).

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

10941262560 is a wasteful number, since it uses less digits than its factorization.

10941262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10941262560 in words is "ten billion, nine hundred forty-one million, two hundred sixty-two thousand, five hundred sixty".