1617768000880 has 40 divisors (see below), whose sum is σ = 3766201916400. Its totient is φ = 646265683968.

The previous prime is 1617768000847. The next prime is 1617768000881. The reversal of 1617768000880 is 880008677161.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617768000881) 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, 13086790 + ... + 13209829.

It is an arithmetic number, because the mean of its divisors is an integer number (94155047910).

Almost surely, 2^{1617768000880} is an apocalyptic number.

1617768000880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617768000880 is an abundant number, since it is smaller than the sum of its proper divisors (2148433915520).

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

1617768000880 is a wasteful number, since it uses less digits than its factorization.

1617768000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26297401 (or 26297395 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 1617768000880 in words is "one trillion, six hundred seventeen billion, seven hundred sixty-eight million, eight hundred eighty", and thus it is an aban number.