11453569920 has 192 divisors, whose sum is σ = 42593241600. Its totient is φ = 2819321856.

The previous prime is 11453569909. The next prime is 11453569937. The reversal of 11453569920 is 2996535411.

11453569920 is a `hidden beast` number, since 1 + 1 + 4 + 535 + 6 + 99 + 20 = 666.

11453569920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 1600 + ... + 151359.

It is an arithmetic number, because the mean of its divisors is an integer number (221839800).

Almost surely, 2^11453569920 is an apocalyptic number.

11453569920 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 11453569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21296620800).

11453569920 is an abundant number, since it is smaller than the sum of its proper divisors (31139671680).

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

11453569920 is a wasteful number, since it uses less digits than its factorization.

11453569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152997 (or 152982 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 11453569920 in words is "eleven billion, four hundred fifty-three million, five hundred sixty-nine thousand, nine hundred twenty".