266283151200 has 1296 divisors, whose sum is σ = 1079475284160. Its totient is φ = 61677158400.

The previous prime is 266283151187. The next prime is 266283151213. The reversal of 266283151200 is 2151382662.

266283151200 is a `hidden beast` number, since 2 + 6 + 62 + 83 + 1 + 512 + 0 + 0 = 666.

266283151200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (266283151187) and next prime (266283151213).

It is a super-2 number, since 2×266283151200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3370672761 + ... + 3370672839.

It is an arithmetic number, because the mean of its divisors is an integer number (832928460).

Almost surely, 2^266283151200 is an apocalyptic number.

266283151200 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 266283151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539737642080).

266283151200 is an abundant number, since it is smaller than the sum of its proper divisors (813192132960).

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

266283151200 is a wasteful number, since it uses less digits than its factorization.

266283151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 266283151200 in words is "two hundred sixty-six billion, two hundred eighty-three million, one hundred fifty-one thousand, two hundred".