11681157670140 has 288 divisors, whose sum is σ = 38138150804544. Its totient is φ = 2663605002240.

The previous prime is 11681157670103. The next prime is 11681157670153. The reversal of 11681157670140 is 4107675118611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11681157670140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2561093460 + ... + 2561098020.

It is an arithmetic number, because the mean of its divisors is an integer number (132424134738).

Almost surely, 2^{11681157670140} is an apocalyptic number.

11681157670140 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 11681157670140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19069075402272).

11681157670140 is an abundant number, since it is smaller than the sum of its proper divisors (26456993134404).

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

11681157670140 is a wasteful number, since it uses less digits than its factorization.

11681157670140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 48.

The spelling of 11681157670140 in words is "eleven trillion, six hundred eighty-one billion, one hundred fifty-seven million, six hundred seventy thousand, one hundred forty".