264278123200 has 336 divisors, whose sum is σ = 812331729664. Its totient is φ = 82388275200.

The previous prime is 264278123147. The next prime is 264278123227. The reversal of 264278123200 is 2321872462.

It is a super-2 number, since 2×264278123200² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264278123200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9741655 + ... + 9768745.

Almost surely, 2^264278123200 is an apocalyptic number.

264278123200 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 264278123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406165864832).

264278123200 is an abundant number, since it is smaller than the sum of its proper divisors (548053606464).

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

264278123200 is a wasteful number, since it uses less digits than its factorization.

264278123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27200 (or 27185 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

Adding to 264278123200 its reverse (2321872462), we get a palindrome (266599995662).

The spelling of 264278123200 in words is "two hundred sixty-four billion, two hundred seventy-eight million, one hundred twenty-three thousand, two hundred".