2660795827200 has 2640 divisors, whose sum is σ = 12259721827584. Its totient is φ = 556321996800.

The previous prime is 2660795827199. The next prime is 2660795827201. The reversal of 2660795827200 is 27285970662.

2660795827200 is a `hidden beast` number, since 2 + 6 + 607 + 9 + 5 + 8 + 2 + 7 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2660795827199) and next prime (2660795827201).

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

It is not an unprimeable number, because it can be changed into a prime (2660795827201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10117094269 + ... + 10117094531.

Almost surely, 2^{2660795827200} is an apocalyptic number.

2660795827200 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 2660795827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129860913792).

2660795827200 is an abundant number, since it is smaller than the sum of its proper divisors (9598926000384).

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

2660795827200 is a wasteful number, since it uses less digits than its factorization.

2660795827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2660795827200 in words is "two trillion, six hundred sixty billion, seven hundred ninety-five million, eight hundred twenty-seven thousand, two hundred".