11782160612352 has 616 divisors, whose sum is σ = 38226825957600. Its totient is φ = 3606471475200.

The previous prime is 11782160612351. The next prime is 11782160612419. The reversal of 11782160612352 is 25321606128711.

11782160612352 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 2 + 1 + 606 + 1 + 2 + 35 + 2 = 666.

It is a super-2 number, since 2×11782160612352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11782160612298 and 11782160612307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11782160612351) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1931182102 + ... + 1931188202.

Almost surely, 2^{11782160612352} is an apocalyptic number.

11782160612352 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 11782160612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113412978800).

11782160612352 is an abundant number, since it is smaller than the sum of its proper divisors (26444665345248).

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

11782160612352 is an equidigital number, since it uses as much as digits as its factorization.

11782160612352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11782160612352 in words is "eleven trillion, seven hundred eighty-two billion, one hundred sixty million, six hundred twelve thousand, three hundred fifty-two".