11778093522240 has 896 divisors, whose sum is σ = 41295200550912. Its totient is φ = 2832252272640.

The previous prime is 11778093522199. The next prime is 11778093522241. The reversal of 11778093522240 is 4222539087711.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11778093522241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 11423950525 + ... + 11423951555.

It is an arithmetic number, because the mean of its divisors is an integer number (46088393472).

Almost surely, 2^{11778093522240} is an apocalyptic number.

11778093522240 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 11778093522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20647600275456).

11778093522240 is an abundant number, since it is smaller than the sum of its proper divisors (29517107028672).

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

11778093522240 is a wasteful number, since it uses less digits than its factorization.

11778093522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 11778093522240 in words is "eleven trillion, seven hundred seventy-eight billion, ninety-three million, five hundred twenty-two thousand, two hundred forty".