11776805979840 has 672 divisors, whose sum is σ = 45642308991552. Its totient is φ = 2785312358400.

The previous prime is 11776805979817. The next prime is 11776805979857. The reversal of 11776805979840 is 4897950867711.

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

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, 157127014 + ... + 157201946.

It is an arithmetic number, because the mean of its divisors is an integer number (67920102666).

Almost surely, 2^{11776805979840} is an apocalyptic number.

11776805979840 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 11776805979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821154495776).

11776805979840 is an abundant number, since it is smaller than the sum of its proper divisors (33865503011712).

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

11776805979840 is a wasteful number, since it uses less digits than its factorization.

11776805979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75030 (or 74995 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 11776805979840 in words is "eleven trillion, seven hundred seventy-six billion, eight hundred five million, nine hundred seventy-nine thousand, eight hundred forty".