266309350400 has 264 divisors, whose sum is σ = 696788319360. Its totient is φ = 100638720000.

The previous prime is 266309350399. The next prime is 266309350429. The reversal of 266309350400 is 4053903662.

It is a super-2 number, since 2×266309350400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292325945 + ... + 292326855.

Almost surely, 2^266309350400 is an apocalyptic number.

266309350400 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 266309350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348394159680).

266309350400 is an abundant number, since it is smaller than the sum of its proper divisors (430478968960).

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

266309350400 is a wasteful number, since it uses less digits than its factorization.

266309350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 266309350400 in words is "two hundred sixty-six billion, three hundred nine million, three hundred fifty thousand, four hundred".