2795212800000 has 960 divisors, whose sum is σ = 10469058179580. Its totient is φ = 743178240000.

The previous prime is 2795212799993. The next prime is 2795212800007. The reversal of 2795212800000 is 82125972.

It is an interprime number because it is at equal distance from previous prime (2795212799993) and next prime (2795212800007).

It can be written as a sum of positive squares in 6 ways, for example, as 583353778176 + 2211859021824 = 763776^2 + 1487232^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2795212800007) 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, 8294399832 + ... + 8294400168.

Almost surely, 2^{2795212800000} is an apocalyptic number.

2795212800000 is a gapful number since it is divisible by the number (20) 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 2795212800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234529089790).

2795212800000 is an abundant number, since it is smaller than the sum of its proper divisors (7673845379580).

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

2795212800000 is an frugal number, since it uses more digits than its factorization.

2795212800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 2795212800000 its reverse (82125972), we get a palindrome (2795294925972).

The spelling of 2795212800000 in words is "two trillion, seven hundred ninety-five billion, two hundred twelve million, eight hundred thousand".