11507461560 has 256 divisors, whose sum is σ = 44064000000. Its totient is φ = 2616717312.

The previous prime is 11507461543. The next prime is 11507461573. The reversal of 11507461560 is 6516470511.

It is a happy number.

11507461560 is a `hidden beast` number, since 1 + 1 + 50 + 7 + 46 + 1 + 560 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1500616 + ... + 1508264.

It is an arithmetic number, because the mean of its divisors is an integer number (172125000).

Almost surely, 2^11507461560 is an apocalyptic number.

11507461560 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 11507461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000000).

11507461560 is an abundant number, since it is smaller than the sum of its proper divisors (32556538440).

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

11507461560 is a wasteful number, since it uses less digits than its factorization.

11507461560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11507461560 in words is "eleven billion, five hundred seven million, four hundred sixty-one thousand, five hundred sixty".