1355010607664 has 80 divisors (see below), whose sum is σ = 3041280345600. Its totient is φ = 572824657920.

The previous prime is 1355010607609. The next prime is 1355010607723. The reversal of 1355010607664 is 4667060105531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5845037 + ... + 6072435.

It is an arithmetic number, because the mean of its divisors is an integer number (38016004320).

Almost surely, 2^{1355010607664} is an apocalyptic number.

1355010607664 is a gapful number since it is divisible by the number (14) 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 1355010607664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520640172800).

1355010607664 is an abundant number, since it is smaller than the sum of its proper divisors (1686269737936).

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

1355010607664 is a wasteful number, since it uses less digits than its factorization.

1355010607664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228138 (or 228132 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 1355010607664 in words is "one trillion, three hundred fifty-five billion, ten million, six hundred seven thousand, six hundred sixty-four".