11006061560 has 96 divisors (see below), whose sum is σ = 27305540640. Its totient is φ = 3968923392.

The previous prime is 11006061559. The next prime is 11006061587. The reversal of 11006061560 is 6516060011.

It is a super-2 number, since 2×11006061560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955757 + ... + 967203.

It is an arithmetic number, because the mean of its divisors is an integer number (284432715).

Almost surely, 2^11006061560 is an apocalyptic number.

11006061560 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 11006061560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652770320).

11006061560 is an abundant number, since it is smaller than the sum of its proper divisors (16299479080).

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

11006061560 is a wasteful number, since it uses less digits than its factorization.

11006061560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11557 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 11006061560 in words is "eleven billion, six million, sixty-one thousand, five hundred sixty".