11778165521928 has 960 divisors, whose sum is σ = 38097807390720. Its totient is φ = 3392675020800.

The previous prime is 11778165521909. The next prime is 11778165522001. The reversal of 11778165521928 is 82912556187711.

11778165521928 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 8 + 16 + 5 + 521 + 92 + 8 = 666.

11778165521928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (16934400) is a multiple of the sum of its prime factors (980).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15477221068 + ... + 15477221828.

It is an arithmetic number, because the mean of its divisors is an integer number (39685216032).

Almost surely, 2^{11778165521928} is an apocalyptic number.

11778165521928 is a gapful number since it is divisible by the number (18) 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 11778165521928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048903695360).

11778165521928 is an abundant number, since it is smaller than the sum of its proper divisors (26319641868792).

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

11778165521928 is a wasteful number, since it uses less digits than its factorization.

11778165521928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 954 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 63.

The spelling of 11778165521928 in words is "eleven trillion, seven hundred seventy-eight billion, one hundred sixty-five million, five hundred twenty-one thousand, nine hundred twenty-eight".