11777358096000 has 1024 divisors, whose sum is σ = 49828746240000. Its totient is φ = 2678303232000.

The previous prime is 11777358095963. The next prime is 11777358096041. The reversal of 11777358096000 is 69085377711.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 601766215 + ... + 601785785.

It is an arithmetic number, because the mean of its divisors is an integer number (48660885000).

Almost surely, 2^{11777358096000} is an apocalyptic number.

11777358096000 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 11777358096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24914373120000).

11777358096000 is an abundant number, since it is smaller than the sum of its proper divisors (38051388144000).

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

11777358096000 is a wasteful number, since it uses less digits than its factorization.

11777358096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19815 (or 19787 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 11777358096000 in words is "eleven trillion, seven hundred seventy-seven billion, three hundred fifty-eight million, ninety-six thousand".