11287848960 has 480 divisors, whose sum is σ = 41859417600. Its totient is φ = 2906357760.

The previous prime is 11287848937. The next prime is 11287848983. The reversal of 11287848960 is 6984878211.

11287848960 is a `hidden beast` number, since 11 + 28 + 78 + 489 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11287848937) and next prime (11287848983).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11287848897 and 11287848906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25712421 + ... + 25712859.

It is an arithmetic number, because the mean of its divisors is an integer number (87207120).

Almost surely, 2^11287848960 is an apocalyptic number.

11287848960 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 11287848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20929708800).

11287848960 is an abundant number, since it is smaller than the sum of its proper divisors (30571568640).

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

11287848960 is an equidigital number, since it uses as much as digits as its factorization.

11287848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11287848960 in words is "eleven billion, two hundred eighty-seven million, eight hundred forty-eight thousand, nine hundred sixty".