264271987200 has 480 divisors, whose sum is σ = 981079456896. Its totient is φ = 62220533760.

The previous prime is 264271987169. The next prime is 264271987211. The reversal of 264271987200 is 2789172462.

It is a tau number, because it is divible by the number of its divisors (480).

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 264271987200.

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, 11470092 + ... + 11493108.

Almost surely, 2^264271987200 is an apocalyptic number.

264271987200 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 264271987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490539728448).

264271987200 is an abundant number, since it is smaller than the sum of its proper divisors (716807469696).

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

264271987200 is a wasteful number, since it uses less digits than its factorization.

264271987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23084 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 264271987200 in words is "two hundred sixty-four billion, two hundred seventy-one million, nine hundred eighty-seven thousand, two hundred".