11869607846880 has 480 divisors, whose sum is σ = 47903414017536. Its totient is φ = 2711391169536.

The previous prime is 11869607846861. The next prime is 11869607846893. The reversal of 11869607846880 is 8864870696811.

11869607846880 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 9 + 607 + 8 + 4 + 6 + 8 + 8 + 0 = 666.

11869607846880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11869607846799 and 11869607846808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151190997 + ... + 151269483.

Almost surely, 2^{11869607846880} is an apocalyptic number.

11869607846880 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 11869607846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23951707008768).

11869607846880 is an abundant number, since it is smaller than the sum of its proper divisors (36033806170656).

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

11869607846880 is a wasteful number, since it uses less digits than its factorization.

11869607846880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80188 (or 80171 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 11869607846880 in words is "eleven trillion, eight hundred sixty-nine billion, six hundred seven million, eight hundred forty-six thousand, eight hundred eighty".