11699649093120 has 320 divisors, whose sum is σ = 37647935645760. Its totient is φ = 3099447001088.

The previous prime is 11699649093103. The next prime is 11699649093161. The reversal of 11699649093120 is 2139094699611.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2254699486 + ... + 2254704674.

It is an arithmetic number, because the mean of its divisors is an integer number (117649798893).

Almost surely, 2^{11699649093120} is an apocalyptic number.

11699649093120 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 11699649093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18823967822880).

11699649093120 is an abundant number, since it is smaller than the sum of its proper divisors (25948286552640).

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

11699649093120 is a wasteful number, since it uses less digits than its factorization.

11699649093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 60.

The spelling of 11699649093120 in words is "eleven trillion, six hundred ninety-nine billion, six hundred forty-nine million, ninety-three thousand, one hundred twenty".