266120161223400 has 432 divisors, whose sum is σ = 982463067675180. Its totient is φ = 64506790656000.

The previous prime is 266120161223387. The next prime is 266120161223407. The reversal of 266120161223400 is 4322161021662.

266120161223400 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 2 + 0 + 1 + 612 + 2 + 34 + 0 + 0 = 666.

266120161223400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 496204718724 + 265623956504676 = 704418^2 + 16297974^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (266120161223407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2104102564 + ... + 2104229036.

Almost surely, 2^{266120161223400} is an apocalyptic number.

266120161223400 is a gapful number since it is divisible by the number (20) 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 266120161223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491231533837590).

266120161223400 is an abundant number, since it is smaller than the sum of its proper divisors (716342906451780).

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

266120161223400 is a wasteful number, since it uses less digits than its factorization.

266120161223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136178 (or 136155 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 266120161223400 in words is "two hundred sixty-six trillion, one hundred twenty billion, one hundred sixty-one million, two hundred twenty-three thousand, four hundred".