11836611072 has 720 divisors, whose sum is σ = 42790011264. Its totient is φ = 3122380800.

The previous prime is 11836611023. The next prime is 11836611119. The reversal of 11836611072 is 27011663811.

11836611072 is a `hidden beast` number, since 1 + 1 + 8 + 36 + 611 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166712797 + ... + 166712867.

Almost surely, 2^11836611072 is an apocalyptic number.

11836611072 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 11836611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395005632).

11836611072 is an abundant number, since it is smaller than the sum of its proper divisors (30953400192).

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

11836611072 is a wasteful number, since it uses less digits than its factorization.

11836611072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11836611072 in words is "eleven billion, eight hundred thirty-six million, six hundred eleven thousand, seventy-two".