2552789552768 has 64 divisors (see below), whose sum is σ = 6259243643520. Its totient is φ = 1009894763520.

The previous prime is 2552789552767. The next prime is 2552789552771. The reversal of 2552789552768 is 8672559872552.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2552789552767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109568948 + ... + 109592243.

It is an arithmetic number, because the mean of its divisors is an integer number (97800681930).

Almost surely, 2^{2552789552768} is an apocalyptic number.

2552789552768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2552789552768 is an abundant number, since it is smaller than the sum of its proper divisors (3706454090752).

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

2552789552768 is a wasteful number, since it uses less digits than its factorization.

2552789552768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219161225 (or 219161213 counting only the distinct ones).

The product of its digits is 846720000, while the sum is 71.

The spelling of 2552789552768 in words is "two trillion, five hundred fifty-two billion, seven hundred eighty-nine million, five hundred fifty-two thousand, seven hundred sixty-eight".