11215395680832 has 560 divisors, whose sum is σ = 40282631883648. Its totient is φ = 3011988602880.

The previous prime is 11215395680831. The next prime is 11215395680903. The reversal of 11215395680832 is 23808659351211.

11215395680832 is a `hidden beast` number, since 1 + 1 + 2 + 15 + 39 + 568 + 0 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11215395680831) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 491654707 + ... + 491677517.

Almost surely, 2^{11215395680832} is an apocalyptic number.

11215395680832 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 11215395680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20141315941824).

11215395680832 is an abundant number, since it is smaller than the sum of its proper divisors (29067236202816).

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

11215395680832 is a wasteful number, since it uses less digits than its factorization.

11215395680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23656 (or 23637 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 11215395680832 in words is "eleven trillion, two hundred fifteen billion, three hundred ninety-five million, six hundred eighty thousand, eight hundred thirty-two".