11359672371936 has 768 divisors, whose sum is σ = 39713587200000. Its totient is φ = 3090919772160.

The previous prime is 11359672371869. The next prime is 11359672371947. The reversal of 11359672371936 is 63917327695311.

It is a happy number.

11359672371936 is a `hidden beast` number, since 1 + 1 + 3 + 596 + 7 + 2 + 3 + 7 + 1 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3787818565 + ... + 3787821563.

It is an arithmetic number, because the mean of its divisors is an integer number (51710400000).

Almost surely, 2^{11359672371936} is an apocalyptic number.

11359672371936 is a gapful number since it is divisible by the number (16) 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 11359672371936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856793600000).

11359672371936 is an abundant number, since it is smaller than the sum of its proper divisors (28353914828064).

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

11359672371936 is a wasteful number, since it uses less digits than its factorization.

11359672371936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3358 counting only the distinct ones).

The product of its digits is 38578680, while the sum is 63.

The spelling of 11359672371936 in words is "eleven trillion, three hundred fifty-nine billion, six hundred seventy-two million, three hundred seventy-one thousand, nine hundred thirty-six".