11387819520 has 960 divisors, whose sum is σ = 50557478400. Its totient is φ = 2348236800.

The previous prime is 11387819503. The next prime is 11387819533. The reversal of 11387819520 is 2591878311.

11387819520 is a `hidden beast` number, since 11 + 38 + 7 + 81 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 86929855 + ... + 86929985.

It is an arithmetic number, because the mean of its divisors is an integer number (52664040).

Almost surely, 2^11387819520 is an apocalyptic number.

11387819520 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 11387819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25278739200).

11387819520 is an abundant number, since it is smaller than the sum of its proper divisors (39169658880).

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

11387819520 is a wasteful number, since it uses less digits than its factorization.

11387819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11387819520 in words is "eleven billion, three hundred eighty-seven million, eight hundred nineteen thousand, five hundred twenty".