11782955520 has 800 divisors, whose sum is σ = 49514509440. Its totient is φ = 2655313920.

The previous prime is 11782955467. The next prime is 11782955521. The reversal of 11782955520 is 2555928711.

11782955520 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 2 + 95 + 552 + 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 not an unprimeable number, because it can be changed into a prime (11782955521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165957085 + ... + 165957155.

Almost surely, 2^11782955520 is an apocalyptic number.

11782955520 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 11782955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24757254720).

11782955520 is an abundant number, since it is smaller than the sum of its proper divisors (37731553920).

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

11782955520 is an frugal number, since it uses more digits than its factorization.

11782955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 11782955520 in words is "eleven billion, seven hundred eighty-two million, nine hundred fifty-five thousand, five hundred twenty".