10355006160672 has 96 divisors (see below), whose sum is σ = 27466409154240. Its totient is φ = 3415577779200.

The previous prime is 10355006160649. The next prime is 10355006160679. The reversal of 10355006160672 is 27606160055301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10355006160672³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10355006160679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17047663 + ... + 17644625.

It is an arithmetic number, because the mean of its divisors is an integer number (286108428690).

Almost surely, 2^{10355006160672} is an apocalyptic number.

10355006160672 is a gapful number since it is divisible by the number (12) 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 10355006160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733204577120).

10355006160672 is an abundant number, since it is smaller than the sum of its proper divisors (17111402993568).

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

10355006160672 is a wasteful number, since it uses less digits than its factorization.

10355006160672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598866 (or 598858 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 10355006160672 in words is "ten trillion, three hundred fifty-five billion, six million, one hundred sixty thousand, six hundred seventy-two".