2785967811648 has 560 divisors, whose sum is σ = 9863370590720. Its totient is φ = 770278118400.

The previous prime is 2785967811611. The next prime is 2785967811707. The reversal of 2785967811648 is 8461187695872.

It is a happy number.

2785967811648 is a `hidden beast` number, since 27 + 8 + 596 + 7 + 8 + 1 + 1 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128605938 + ... + 128627598.

Almost surely, 2^{2785967811648} is an apocalyptic number.

2785967811648 is a gapful number since it is divisible by the number (28) 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 2785967811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931685295360).

2785967811648 is an abundant number, since it is smaller than the sum of its proper divisors (7077402779072).

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

2785967811648 is an equidigital number, since it uses as much as digits as its factorization.

2785967811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21741 (or 21704 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 2785967811648 in words is "two trillion, seven hundred eighty-five billion, nine hundred sixty-seven million, eight hundred eleven thousand, six hundred forty-eight".