11617696280320 has 288 divisors, whose sum is σ = 30800066064768. Its totient is φ = 4170764058624.

The previous prime is 11617696280287. The next prime is 11617696280329. The reversal of 11617696280320 is 2308269671611.

It is a super-2 number, since 2×11617696280320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11617696280329) 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 31 ways as a sum of consecutive naturals, for example, 1007862397 + ... + 1007873923.

It is an arithmetic number, because the mean of its divisors is an integer number (106944673836).

Almost surely, 2^{11617696280320} is an apocalyptic number.

11617696280320 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 11617696280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400033032384).

11617696280320 is an abundant number, since it is smaller than the sum of its proper divisors (19182369784448).

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

11617696280320 is a wasteful number, since it uses less digits than its factorization.

11617696280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13235 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 11617696280320 in words is "eleven trillion, six hundred seventeen billion, six hundred ninety-six million, two hundred eighty thousand, three hundred twenty".