11883509357670 has 432 divisors, whose sum is σ = 34179421882320. Its totient is φ = 2973960842112.

The previous prime is 11883509357641. The next prime is 11883509357767. The reversal of 11883509357670 is 7675390538811.

11883509357670 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 3 + 50 + 9 + 3 + 576 + 7 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11883509357598 and 11883509357607.

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 2581685589 + ... + 2581690191.

It is an arithmetic number, because the mean of its divisors is an integer number (79119032135).

Almost surely, 2^{11883509357670} is an apocalyptic number.

11883509357670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11883509357670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17089710941160).

11883509357670 is an abundant number, since it is smaller than the sum of its proper divisors (22295912524650).

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

11883509357670 is an equidigital number, since it uses as much as digits as its factorization.

11883509357670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 11883509357670 in words is "eleven trillion, eight hundred eighty-three billion, five hundred nine million, three hundred fifty-seven thousand, six hundred seventy".