11395996764880 has 480 divisors, whose sum is σ = 33032000102400. Its totient is φ = 3580054732800.

The previous prime is 11395996764839. The next prime is 11395996764913. The reversal of 11395996764880 is 8846769959311.

11395996764880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11395996764797 and 11395996764806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9900952305 + ... + 9900953455.

It is an arithmetic number, because the mean of its divisors is an integer number (68816666880).

Almost surely, 2^{11395996764880} is an apocalyptic number.

11395996764880 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 11395996764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516000051200).

11395996764880 is an abundant number, since it is smaller than the sum of its proper divisors (21636003337520).

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

11395996764880 is a wasteful number, since it uses less digits than its factorization.

11395996764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 76.

The spelling of 11395996764880 in words is "eleven trillion, three hundred ninety-five billion, nine hundred ninety-six million, seven hundred sixty-four thousand, eight hundred eighty".