10655066268000 has 5760 divisors, whose sum is σ = 54524136610944. Its totient is φ = 2006581248000.

The previous prime is 10655066267959. The next prime is 10655066268001. The reversal of 10655066268000 is 86266055601.

It is a happy number.

10655066268000 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 506 + 62 + 6 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×10655066268000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10655066268001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 109846043952 + ... + 109846044048.

Almost surely, 2^{10655066268000} is an apocalyptic number.

10655066268000 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 10655066268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27262068305472).

10655066268000 is an abundant number, since it is smaller than the sum of its proper divisors (43869070342944).

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

10655066268000 is a wasteful number, since it uses less digits than its factorization.

10655066268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10655066268000 in words is "ten trillion, six hundred fifty-five billion, sixty-six million, two hundred sixty-eight thousand".