11757106247040 has 5120 divisors, whose sum is σ = 59947570298880. Its totient is φ = 2128409395200.

The previous prime is 11757106247021. The next prime is 11757106247129. The reversal of 11757106247040 is 4074260175711.

11757106247040 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 7 + 10 + 624 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 379261491825 + ... + 379261491855.

It is an arithmetic number, because the mean of its divisors is an integer number (11708509824).

Almost surely, 2^{11757106247040} is an apocalyptic number.

11757106247040 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 11757106247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29973785149440).

11757106247040 is an abundant number, since it is smaller than the sum of its proper divisors (48190464051840).

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

11757106247040 is an equidigital number, since it uses as much as digits as its factorization.

11757106247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 11757106247040 in words is "eleven trillion, seven hundred fifty-seven billion, one hundred six million, two hundred forty-seven thousand, forty".