11460283920 has 320 divisors, whose sum is σ = 40752391680. Its totient is φ = 2958336000.

The previous prime is 11460283909. The next prime is 11460283931. The reversal of 11460283920 is 2938206411.

11460283920 is a `hidden beast` number, since 1 + 14 + 602 + 8 + 39 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11460283909) and next prime (11460283931).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13372132 + ... + 13372988.

It is an arithmetic number, because the mean of its divisors is an integer number (127351224).

Almost surely, 2^11460283920 is an apocalyptic number.

11460283920 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 11460283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376195840).

11460283920 is an abundant number, since it is smaller than the sum of its proper divisors (29292107760).

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

11460283920 is a wasteful number, since it uses less digits than its factorization.

11460283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11460283920 in words is "eleven billion, four hundred sixty million, two hundred eighty-three thousand, nine hundred twenty".