11387716560 has 640 divisors, whose sum is σ = 45877777920. Its totient is φ = 2587115520.

The previous prime is 11387716537. The next prime is 11387716583. The reversal of 11387716560 is 6561778311.

11387716560 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 77 + 16 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11387716537) and next prime (11387716583).

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 127 ways as a sum of consecutive naturals, for example, 48874204 + ... + 48874436.

It is an arithmetic number, because the mean of its divisors is an integer number (71684028).

Almost surely, 2^11387716560 is an apocalyptic number.

11387716560 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 11387716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938888960).

11387716560 is an abundant number, since it is smaller than the sum of its proper divisors (34490061360).

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

11387716560 is a wasteful number, since it uses less digits than its factorization.

11387716560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11387716560 in words is "eleven billion, three hundred eighty-seven million, seven hundred sixteen thousand, five hundred sixty".