2793800661120 has 1024 divisors, whose sum is σ = 12016887321600. Its totient is φ = 598838870016.

The previous prime is 2793800661077. The next prime is 2793800661133. The reversal of 2793800661120 is 211660083972.

2793800661120 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 8 + 0 + 0 + 6 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 602499442 + ... + 602504078.

It is an arithmetic number, because the mean of its divisors is an integer number (11735241525).

Almost surely, 2^{2793800661120} is an apocalyptic number.

2793800661120 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 2793800661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008443660800).

2793800661120 is an abundant number, since it is smaller than the sum of its proper divisors (9223086660480).

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

2793800661120 is a wasteful number, since it uses less digits than its factorization.

2793800661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2793800661120 in words is "two trillion, seven hundred ninety-three billion, eight hundred million, six hundred sixty-one thousand, one hundred twenty".