11652160126320 has 480 divisors, whose sum is σ = 47365276428288. Its totient is φ = 2606682415104.

The previous prime is 11652160126301. The next prime is 11652160126337. The reversal of 11652160126320 is 2362106125611.

11652160126320 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 2 + 1 + 6 + 0 + 12 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5484832 + ... + 7306688.

Almost surely, 2^{11652160126320} is an apocalyptic number.

11652160126320 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 11652160126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682638214144).

11652160126320 is an abundant number, since it is smaller than the sum of its proper divisors (35713116301968).

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

11652160126320 is a wasteful number, since it uses less digits than its factorization.

11652160126320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821939 (or 1821921 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11652160126320 in words is "eleven trillion, six hundred fifty-two billion, one hundred sixty million, one hundred twenty-six thousand, three hundred twenty".