11460933120 has 960 divisors, whose sum is σ = 48660885504. Its totient is φ = 2238382080.

The previous prime is 11460933067. The next prime is 11460933157. The reversal of 11460933120 is 2133906411.

11460933120 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 (960).

It is a super-2 number, since 2×11460933120² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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 (30).

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 95 ways as a sum of consecutive naturals, for example, 369707505 + ... + 369707535.

Almost surely, 2^11460933120 is an apocalyptic number.

11460933120 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 11460933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330442752).

11460933120 is an abundant number, since it is smaller than the sum of its proper divisors (37199952384).

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

11460933120 is a wasteful number, since it uses less digits than its factorization.

11460933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 11460933120 in words is "eleven billion, four hundred sixty million, nine hundred thirty-three thousand, one hundred twenty".