2078943128064 has 600 divisors, whose sum is σ = 6919640025408. Its totient is φ = 616280002560.

The previous prime is 2078943128047. The next prime is 2078943128069. The reversal of 2078943128064 is 4608213498702.

2078943128064 is a `hidden beast` number, since 2 + 0 + 78 + 9 + 431 + 2 + 80 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2078943128064.

It is not an unprimeable number, because it can be changed into a prime (2078943128069) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1007727097 + ... + 1007729159.

Almost surely, 2^{2078943128064} is an apocalyptic number.

2078943128064 is a gapful number since it is divisible by the number (24) 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 2078943128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459820012704).

2078943128064 is an abundant number, since it is smaller than the sum of its proper divisors (4840696897344).

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

2078943128064 is an equidigital number, since it uses as much as digits as its factorization.

2078943128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2078943128064 in words is "two trillion, seventy-eight billion, nine hundred forty-three million, one hundred twenty-eight thousand, sixty-four".