11731514760 has 384 divisors, whose sum is σ = 45229916160. Its totient is φ = 2580595200.

The previous prime is 11731514731. The next prime is 11731514777. The reversal of 11731514760 is 6741513711.

It is a happy number.

11731514760 is a `hidden beast` number, since 1 + 1 + 73 + 1 + 514 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20545275 + ... + 20545845.

It is an arithmetic number, because the mean of its divisors is an integer number (117786240).

Almost surely, 2^11731514760 is an apocalyptic number.

11731514760 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 11731514760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22614958080).

11731514760 is an abundant number, since it is smaller than the sum of its proper divisors (33498401400).

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

11731514760 is a wasteful number, since it uses less digits than its factorization.

11731514760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 11731514760 in words is "eleven billion, seven hundred thirty-one million, five hundred fourteen thousand, seven hundred sixty".