10664121026200 has 96 divisors (see below), whose sum is σ = 24856994050560. Its totient is φ = 4254829084800.

The previous prime is 10664121026197. The next prime is 10664121026239. The reversal of 10664121026200 is 262012146601.

It is a happy number.

10664121026200 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 2×10664121026200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510552157 + ... + 510573043.

It is an arithmetic number, because the mean of its divisors is an integer number (258927021360).

Almost surely, 2^{10664121026200} is an apocalyptic number.

10664121026200 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 10664121026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428497025280).

10664121026200 is an abundant number, since it is smaller than the sum of its proper divisors (14192873024360).

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

10664121026200 is a wasteful number, since it uses less digits than its factorization.

10664121026200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27257 (or 27248 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 10664121026200 in words is "ten trillion, six hundred sixty-four billion, one hundred twenty-one million, twenty-six thousand, two hundred".