11933127360 has 672 divisors, whose sum is σ = 53094892032. Its totient is φ = 2478366720.

The previous prime is 11933127359. The next prime is 11933127389. The reversal of 11933127360 is 6372133911.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5986524 + ... + 5988516.

It is an arithmetic number, because the mean of its divisors is an integer number (79010256).

Almost surely, 2^11933127360 is an apocalyptic number.

11933127360 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 11933127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26547446016).

11933127360 is an abundant number, since it is smaller than the sum of its proper divisors (41161764672).

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

11933127360 is a wasteful number, since it uses less digits than its factorization.

11933127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 11933127360 in words is "eleven billion, nine hundred thirty-three million, one hundred twenty-seven thousand, three hundred sixty".