266153687322120 has 1152 divisors, whose sum is σ = 975877683580800. Its totient is φ = 62830046822400.

The previous prime is 266153687322109. The next prime is 266153687322191. The reversal of 266153687322120 is 21223786351662.

266153687322120 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 536 + 8 + 73 + 22 + 12 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95429789686 + ... + 95429792474.

It is an arithmetic number, because the mean of its divisors is an integer number (847116044775).

Almost surely, 2^{266153687322120} is an apocalyptic number.

266153687322120 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 266153687322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487938841790400).

266153687322120 is an abundant number, since it is smaller than the sum of its proper divisors (709723996258680).

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

266153687322120 is a wasteful number, since it uses less digits than its factorization.

266153687322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 266153687322120 in words is "two hundred sixty-six trillion, one hundred fifty-three billion, six hundred eighty-seven million, three hundred twenty-two thousand, one hundred twenty".