2078799805152 has 768 divisors, whose sum is σ = 7433930649600. Its totient is φ = 552247787520.

The previous prime is 2078799805141. The next prime is 2078799805157. The reversal of 2078799805152 is 2515089978702.

2078799805152 is a `hidden beast` number, since 20 + 7 + 8 + 7 + 9 + 98 + 0 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2078799805152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078799805157) 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, 2218569228 + ... + 2218570164.

It is an arithmetic number, because the mean of its divisors is an integer number (9679597200).

Almost surely, 2^{2078799805152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078799805152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716965324800).

2078799805152 is an abundant number, since it is smaller than the sum of its proper divisors (5355130844448).

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

2078799805152 is a wasteful number, since it uses less digits than its factorization.

2078799805152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 2078799805152 in words is "two trillion, seventy-eight billion, seven hundred ninety-nine million, eight hundred five thousand, one hundred fifty-two".