10345319077760 has 128 divisors (see below), whose sum is σ = 25001317634400. Its totient is φ = 4093109248000.

The previous prime is 10345319077727. The next prime is 10345319077829. The reversal of 10345319077760 is 6777091354301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 65789630 + ... + 65946690.

Almost surely, 2^{10345319077760} is an apocalyptic number.

10345319077760 is a gapful number since it is divisible by the number (10) 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 10345319077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500658817200).

10345319077760 is an abundant number, since it is smaller than the sum of its proper divisors (14655998556640).

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

10345319077760 is a wasteful number, since it uses less digits than its factorization.

10345319077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158200 (or 158188 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 53.

The spelling of 10345319077760 in words is "ten trillion, three hundred forty-five billion, three hundred nineteen million, seventy-seven thousand, seven hundred sixty".