266221755360 has 432 divisors, whose sum is σ = 1024130867760. Its totient is φ = 62453145600.

The previous prime is 266221755343. The next prime is 266221755377. The reversal of 266221755360 is 63557122662.

266221755360 is a `hidden beast` number, since 2 + 6 + 6 + 22 + 17 + 553 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (266221755343) and next prime (266221755377).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15213496 + ... + 15230984.

It is an arithmetic number, because the mean of its divisors is an integer number (2370673305).

Almost surely, 2^266221755360 is an apocalyptic number.

266221755360 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 266221755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512065433880).

266221755360 is an abundant number, since it is smaller than the sum of its proper divisors (757909112400).

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

266221755360 is a wasteful number, since it uses less digits than its factorization.

266221755360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17583 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 266221755360 in words is "two hundred sixty-six billion, two hundred twenty-one million, seven hundred fifty-five thousand, three hundred sixty".