11760493680 has 300 divisors, whose sum is σ = 44233742520. Its totient is φ = 2894621184.

The previous prime is 11760493639. The next prime is 11760493729. The reversal of 11760493680 is 8639406711.

It is a happy number.

11760493680 is a `hidden beast` number, since 1 + 1 + 7 + 604 + 9 + 36 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1089751 + ... + 1100489.

Almost surely, 2^11760493680 is an apocalyptic number.

11760493680 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 11760493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22116871260).

11760493680 is an abundant number, since it is smaller than the sum of its proper divisors (32473248840).

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

11760493680 is a wasteful number, since it uses less digits than its factorization.

11760493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11760493680 in words is "eleven billion, seven hundred sixty million, four hundred ninety-three thousand, six hundred eighty".