10663995657000 has 512 divisors, whose sum is σ = 39206509056000. Its totient is φ = 2362598784000.

The previous prime is 10663995656987. The next prime is 10663995657059. The reversal of 10663995657000 is 75659936601.

It is a happy number.

10663995657000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10663995657000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118247926 + ... + 118338074.

It is an arithmetic number, because the mean of its divisors is an integer number (76575213000).

Almost surely, 2^{10663995657000} is an apocalyptic number.

10663995657000 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 10663995657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603254528000).

10663995657000 is an abundant number, since it is smaller than the sum of its proper divisors (28542513399000).

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

10663995657000 is a wasteful number, since it uses less digits than its factorization.

10663995657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90354 (or 90340 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 57.

The spelling of 10663995657000 in words is "ten trillion, six hundred sixty-three billion, nine hundred ninety-five million, six hundred fifty-seven thousand".