264121845120 has 1280 divisors, whose sum is σ = 1136301281280. Its totient is φ = 57191546880.

The previous prime is 264121845107. The next prime is 264121845133. The reversal of 264121845120 is 21548121462.

264121845120 is a `hidden beast` number, since 2 + 6 + 41 + 21 + 84 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264121845107) and next prime (264121845133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 596211619 + ... + 596212061.

It is an arithmetic number, because the mean of its divisors is an integer number (887735376).

Almost surely, 2^264121845120 is an apocalyptic number.

264121845120 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 264121845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568150640640).

264121845120 is an abundant number, since it is smaller than the sum of its proper divisors (872179436160).

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

264121845120 is a wasteful number, since it uses less digits than its factorization.

264121845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 264121845120 its reverse (21548121462), we get a palindrome (285669966582).

The spelling of 264121845120 in words is "two hundred sixty-four billion, one hundred twenty-one million, eight hundred forty-five thousand, one hundred twenty".