11690763581952 has 1600 divisors, whose sum is σ = 45643723614720. Its totient is φ = 2895496740864.

The previous prime is 11690763581947. The next prime is 11690763581957. The reversal of 11690763581952 is 25918536709611.

11690763581952 is a `hidden beast` number, since 1 + 1 + 6 + 90 + 7 + 6 + 358 + 195 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11690763581947) and next prime (11690763581957).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11690763581952.

It is not an unprimeable number, because it can be changed into a prime (11690763581957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4049449053 + ... + 4049451939.

Almost surely, 2^{11690763581952} is an apocalyptic number.

11690763581952 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 11690763581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821861807360).

11690763581952 is an abundant number, since it is smaller than the sum of its proper divisors (33952960032768).

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

11690763581952 is a wasteful number, since it uses less digits than its factorization.

11690763581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 11690763581952 in words is "eleven trillion, six hundred ninety billion, seven hundred sixty-three million, five hundred eighty-one thousand, nine hundred fifty-two".