11506933072 has 80 divisors (see below), whose sum is σ = 23996870352. Its totient is φ = 5326110720.

The previous prime is 11506933043. The next prime is 11506933073. The reversal of 11506933072 is 27033960511.

It can be written as a sum of positive squares in 8 ways, for example, as 3083536 + 11503849536 = 1756^2 + 107256^2 .

It is a super-3 number, since 3×11506933072³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506933073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4563172 + ... + 4565692.

Almost surely, 2^11506933072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11506933072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998435176).

11506933072 is an abundant number, since it is smaller than the sum of its proper divisors (12489937280).

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

11506933072 is a wasteful number, since it uses less digits than its factorization.

11506933072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 11506933072 in words is "eleven billion, five hundred six million, nine hundred thirty-three thousand, seventy-two".