266106386700 has 2304 divisors, whose sum is σ = 1223921664000. Its totient is φ = 47900160000.

The previous prime is 266106386687. The next prime is 266106386701. The reversal of 266106386700 is 7683601662.

266106386700 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 0 + 638 + 6 + 7 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (266106386701) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2634716650 + ... + 2634716750.

It is an arithmetic number, because the mean of its divisors is an integer number (531216000).

Almost surely, 2^266106386700 is an apocalyptic number.

266106386700 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 266106386700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611960832000).

266106386700 is an abundant number, since it is smaller than the sum of its proper divisors (957815277300).

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

266106386700 is a wasteful number, since it uses less digits than its factorization.

266106386700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 266106386700 in words is "two hundred sixty-six billion, one hundred six million, three hundred eighty-six thousand, seven hundred".