11601671040 has 256 divisors, whose sum is σ = 42877209600. Its totient is φ = 2959165440.

The previous prime is 11601671021. The next prime is 11601671083. The reversal of 11601671040 is 4017610611.

11601671040 is a `hidden beast` number, since 1 + 1 + 601 + 6 + 7 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11601670995 and 11601671013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382845 + ... + 412035.

It is an arithmetic number, because the mean of its divisors is an integer number (167489100).

Almost surely, 2^11601671040 is an apocalyptic number.

11601671040 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 11601671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21438604800).

11601671040 is an abundant number, since it is smaller than the sum of its proper divisors (31275538560).

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

11601671040 is a wasteful number, since it uses less digits than its factorization.

11601671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29242 (or 29224 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11601671040 in words is "eleven billion, six hundred one million, six hundred seventy-one thousand, forty".