266735990400 has 768 divisors, whose sum is σ = 982279094400. Its totient is φ = 63078400000.

The previous prime is 266735990369. The next prime is 266735990431. The reversal of 266735990400 is 4099537662.

It is an interprime number because it is at equal distance from previous prime (266735990369) and next prime (266735990431).

It is a super-2 number, since 2×266735990400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949238260 + ... + 949238540.

Almost surely, 2^266735990400 is an apocalyptic number.

266735990400 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 266735990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491139547200).

266735990400 is an abundant number, since it is smaller than the sum of its proper divisors (715543104000).

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

266735990400 is a wasteful number, since it uses less digits than its factorization.

266735990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 266735990400 in words is "two hundred sixty-six billion, seven hundred thirty-five million, nine hundred ninety thousand, four hundred".