11506114600 has 24 divisors (see below), whose sum is σ = 26751716910. Its totient is φ = 4602445760.

The previous prime is 11506114561. The next prime is 11506114649. The reversal of 11506114600 is 641160511.

It can be written as a sum of positive squares in 3 ways, for example, as 5394314916 + 6111799684 = 73446^2 + 78178^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28765087 + ... + 28765486.

Almost surely, 2^11506114600 is an apocalyptic number.

11506114600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11506114600 is an abundant number, since it is smaller than the sum of its proper divisors (15245602310).

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

11506114600 is a wasteful number, since it uses less digits than its factorization.

11506114600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57530589 (or 57530580 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 11506114600 in words is "eleven billion, five hundred six million, one hundred fourteen thousand, six hundred".