266507366400 has 1560 divisors, whose sum is σ = 1132625793024. Its totient is φ = 61312204800.

The previous prime is 266507366353. The next prime is 266507366459. The reversal of 266507366400 is 4663705662.

266507366400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2098483137 + ... + 2098483263.

Almost surely, 2^266507366400 is an apocalyptic number.

266507366400 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 266507366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566312896512).

266507366400 is an abundant number, since it is smaller than the sum of its proper divisors (866118426624).

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

266507366400 is a wasteful number, since it uses less digits than its factorization.

266507366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 266507366400 in words is "two hundred sixty-six billion, five hundred seven million, three hundred sixty-six thousand, four hundred".