266800282936032 has 384 divisors, whose sum is σ = 772274535137280. Its totient is φ = 80328568320000.

The previous prime is 266800282936007. The next prime is 266800282936043. The reversal of 266800282936032 is 230639282008662.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3760310157 + ... + 3760381107.

It is an arithmetic number, because the mean of its divisors is an integer number (2011131601920).

Almost surely, 2^{266800282936032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266800282936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386137267568640).

266800282936032 is an abundant number, since it is smaller than the sum of its proper divisors (505474252201248).

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

266800282936032 is a wasteful number, since it uses less digits than its factorization.

266800282936032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71998 (or 71990 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 266800282936032 in words is "two hundred sixty-six trillion, eight hundred billion, two hundred eighty-two million, nine hundred thirty-six thousand, thirty-two".