266173766400 has 216 divisors, whose sum is σ = 924663248320. Its totient is φ = 67243806720.

The previous prime is 266173766393. The next prime is 266173766429. The reversal of 266173766400 is 4667371662.

266173766400 is digitally balanced in base 2 and base 3, because in such bases 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 266173766400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22 + ... + 729621.

Almost surely, 2^266173766400 is an apocalyptic number.

266173766400 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 266173766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462331624160).

266173766400 is an abundant number, since it is smaller than the sum of its proper divisors (658489481920).

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

266173766400 is a wasteful number, since it uses less digits than its factorization.

266173766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729691 (or 729672 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 266173766400 in words is "two hundred sixty-six billion, one hundred seventy-three million, seven hundred sixty-six thousand, four hundred".