11315817072 has 160 divisors (see below), whose sum is σ = 37161907200. Its totient is φ = 3229500672.

The previous prime is 11315817059. The next prime is 11315817077. The reversal of 11315817072 is 27071851311.

11315817072 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 581 + 7 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11315817077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3987238 + ... + 3990074.

It is an arithmetic number, because the mean of its divisors is an integer number (232261920).

Almost surely, 2^11315817072 is an apocalyptic number.

11315817072 is a gapful number since it is divisible by the number (12) 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 11315817072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580953600).

11315817072 is an abundant number, since it is smaller than the sum of its proper divisors (25846090128).

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

11315817072 is a wasteful number, since it uses less digits than its factorization.

11315817072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 11315817072 in words is "eleven billion, three hundred fifteen million, eight hundred seventeen thousand, seventy-two".