11553423932160 has 1080 divisors, whose sum is σ = 47908737310896. Its totient is φ = 2636000133120.

The previous prime is 11553423932147. The next prime is 11553423932173. The reversal of 11553423932160 is 6123932435511.

11553423932160 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 3 + 42 + 393 + 216 + 0 = 666.

11553423932160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11553423932147) and next prime (11553423932173).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 329581194 + ... + 329616246.

Almost surely, 2^{11553423932160} is an apocalyptic number.

11553423932160 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 11553423932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23954368655448).

11553423932160 is an abundant number, since it is smaller than the sum of its proper divisors (36355313378736).

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

11553423932160 is a wasteful number, since it uses less digits than its factorization.

11553423932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35131 (or 35091 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 11553423932160 in words is "eleven trillion, five hundred fifty-three billion, four hundred twenty-three million, nine hundred thirty-two thousand, one hundred sixty".