2795255467200 has 3024 divisors, whose sum is σ = 13042065254400. Its totient is φ = 553999564800.

The previous prime is 2795255467141. The next prime is 2795255467217. The reversal of 2795255467200 is 27645525972.

2795255467200 is a `hidden beast` number, since 2 + 7 + 9 + 5 + 2 + 554 + 67 + 20 + 0 = 666.

It is a super-2 number, since 2×2795255467200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 31407364756 + ... + 31407364844.

Almost surely, 2^{2795255467200} is an apocalyptic number.

2795255467200 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 2795255467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521032627200).

2795255467200 is an abundant number, since it is smaller than the sum of its proper divisors (10246809787200).

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

2795255467200 is a wasteful number, since it uses less digits than its factorization.

2795255467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 2795255467200 in words is "two trillion, seven hundred ninety-five billion, two hundred fifty-five million, four hundred sixty-seven thousand, two hundred".