11313551520 has 288 divisors, whose sum is σ = 40782268800. Its totient is φ = 2848131072.

The previous prime is 11313551503. The next prime is 11313551533. The reversal of 11313551520 is 2515531311.

11313551520 is a `hidden beast` number, since 1 + 1 + 3 + 135 + 5 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 10642509 + ... + 10643571.

It is an arithmetic number, because the mean of its divisors is an integer number (141605100).

Almost surely, 2^11313551520 is an apocalyptic number.

11313551520 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 11313551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20391134400).

11313551520 is an abundant number, since it is smaller than the sum of its proper divisors (29468717280).

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

11313551520 is a wasteful number, since it uses less digits than its factorization.

11313551520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 11313551520 in words is "eleven billion, three hundred thirteen million, five hundred fifty-one thousand, five hundred twenty".