11681915105280 has 1248 divisors, whose sum is σ = 45981123413760. Its totient is φ = 2517887877120.

The previous prime is 11681915105279. The next prime is 11681915105297. The reversal of 11681915105280 is 8250151918611.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18933411532 + ... + 18933412148.

Almost surely, 2^{11681915105280} is an apocalyptic number.

11681915105280 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 11681915105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22990561706880).

11681915105280 is an abundant number, since it is smaller than the sum of its proper divisors (34299208308480).

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

11681915105280 is a wasteful number, since it uses less digits than its factorization.

11681915105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 48.

The spelling of 11681915105280 in words is "eleven trillion, six hundred eighty-one billion, nine hundred fifteen million, one hundred five thousand, two hundred eighty".