11745790560 has 480 divisors, whose sum is σ = 48492525312. Its totient is φ = 2621445120.

The previous prime is 11745790559. The next prime is 11745790571. The reversal of 11745790560 is 6509754711.

11745790560 is a `hidden beast` number, since 1 + 1 + 74 + 579 + 0 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11745790560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3899455 + ... + 3902465.

Almost surely, 2^11745790560 is an apocalyptic number.

11745790560 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 11745790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24246262656).

11745790560 is an abundant number, since it is smaller than the sum of its proper divisors (36746734752).

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

11745790560 is a wasteful number, since it uses less digits than its factorization.

11745790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 11745790560 in words is "eleven billion, seven hundred forty-five million, seven hundred ninety thousand, five hundred sixty".