11385480960 has 576 divisors, whose sum is σ = 48624307200. Its totient is φ = 2464432128.

The previous prime is 11385480943. The next prime is 11385480973. The reversal of 11385480960 is 6908458311.

11385480960 is a `hidden beast` number, since 1 + 1 + 3 + 85 + 480 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4595242 + ... + 4597718.

It is an arithmetic number, because the mean of its divisors is an integer number (84417200).

Almost surely, 2^11385480960 is an apocalyptic number.

11385480960 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 11385480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312153600).

11385480960 is an abundant number, since it is smaller than the sum of its proper divisors (37238826240).

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

11385480960 is a wasteful number, since it uses less digits than its factorization.

11385480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11385480960 in words is "eleven billion, three hundred eighty-five million, four hundred eighty thousand, nine hundred sixty".