11546001920 has 160 divisors (see below), whose sum is σ = 28441233216. Its totient is φ = 4493721600.

The previous prime is 11546001893. The next prime is 11546001941. The reversal of 11546001920 is 2910064511.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16708775 + ... + 16709465.

Almost surely, 2^11546001920 is an apocalyptic number.

11546001920 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 11546001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220616608).

11546001920 is an abundant number, since it is smaller than the sum of its proper divisors (16895231296).

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

11546001920 is an equidigital number, since it uses as much as digits as its factorization.

11546001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 11546001920 in words is "eleven billion, five hundred forty-six million, one thousand, nine hundred twenty".