2800056798720 has 320 divisors, whose sum is σ = 9950843105280. Its totient is φ = 746320896000.

The previous prime is 2800056798673. The next prime is 2800056798751. The reversal of 2800056798720 is 278976500082.

It is a happy number.

2800056798720 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 0 + 567 + 9 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×2800056798720³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162492505 + ... + 162509735.

It is an arithmetic number, because the mean of its divisors is an integer number (31096384704).

Almost surely, 2^{2800056798720} is an apocalyptic number.

2800056798720 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 2800056798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975421552640).

2800056798720 is an abundant number, since it is smaller than the sum of its proper divisors (7150786306560).

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

2800056798720 is a wasteful number, since it uses less digits than its factorization.

2800056798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19614 (or 19592 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 2800056798720 in words is "two trillion, eight hundred billion, fifty-six million, seven hundred ninety-eight thousand, seven hundred twenty".