11205250560 has 320 divisors, whose sum is σ = 45489945600. Its totient is φ = 2561089536.

The previous prime is 11205250547. The next prime is 11205250571. The reversal of 11205250560 is 6505250211.

11205250560 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 52 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×11205250560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 472261 + ... + 495419.

It is an arithmetic number, because the mean of its divisors is an integer number (142156080).

Almost surely, 2^11205250560 is an apocalyptic number.

11205250560 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 11205250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22744972800).

11205250560 is an abundant number, since it is smaller than the sum of its proper divisors (34284695040).

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

11205250560 is an equidigital number, since it uses as much as digits as its factorization.

11205250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23198 (or 23176 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11205250560 in words is "eleven billion, two hundred five million, two hundred fifty thousand, five hundred sixty".