11708375040 has 280 divisors, whose sum is σ = 41986024740. Its totient is φ = 3121348608.

The previous prime is 11708375033. The next prime is 11708375051. The reversal of 11708375040 is 4057380711.

11708375040 is a `hidden beast` number, since 1 + 1 + 70 + 83 + 7 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10630434816 + 1077940224 = 103104^2 + 32832^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11708374986 and 11708375004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3315996 + ... + 3319524.

Almost surely, 2^11708375040 is an apocalyptic number.

11708375040 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 11708375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20993012370).

11708375040 is an abundant number, since it is smaller than the sum of its proper divisors (30277649700).

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

11708375040 is an frugal number, since it uses more digits than its factorization.

11708375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11708375040 in words is "eleven billion, seven hundred eight million, three hundred seventy-five thousand, forty".