266338623958400 has 1152 divisors, whose sum is σ = 819871489152000. Its totient is φ = 84991256985600.

The previous prime is 266338623958237. The next prime is 266338623958409. The reversal of 266338623958400 is 4859326833662.

It is a super-2 number, since 2×266338623958400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266338623958409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58937511341 + ... + 58937515859.

It is an arithmetic number, because the mean of its divisors is an integer number (711694001000).

Almost surely, 2^{266338623958400} is an apocalyptic number.

266338623958400 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 266338623958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409935744576000).

266338623958400 is an abundant number, since it is smaller than the sum of its proper divisors (553532865193600).

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

266338623958400 is a wasteful number, since it uses less digits than its factorization.

266338623958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 65.

The spelling of 266338623958400 in words is "two hundred sixty-six trillion, three hundred thirty-eight billion, six hundred twenty-three million, nine hundred fifty-eight thousand, four hundred".