11486752992 has 384 divisors, whose sum is σ = 39626496000. Its totient is φ = 3191408640.

The previous prime is 11486752913. The next prime is 11486753041. The reversal of 11486752992 is 29925768411.

It is a happy number.

11486752992 is a `hidden beast` number, since 1 + 1 + 486 + 75 + 2 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 29528734 + ... + 29529122.

It is an arithmetic number, because the mean of its divisors is an integer number (103194000).

Almost surely, 2^11486752992 is an apocalyptic number.

11486752992 is a gapful number since it is divisible by the number (12) 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 11486752992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248000).

11486752992 is an abundant number, since it is smaller than the sum of its proper divisors (28139743008).

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

11486752992 is a wasteful number, since it uses less digits than its factorization.

11486752992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 11486752992 in words is "eleven billion, four hundred eighty-six million, seven hundred fifty-two thousand, nine hundred ninety-two".