260369564400 has 480 divisors, whose sum is σ = 1020296006400. Its totient is φ = 62537702400.

The previous prime is 260369564369. The next prime is 260369564431. The reversal of 260369564400 is 4465963062.

260369564400 is a `hidden beast` number, since 26 + 0 + 3 + 69 + 564 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (260369564369) and next prime (260369564431).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12939147 + ... + 12959253.

It is an arithmetic number, because the mean of its divisors is an integer number (2125616680).

Almost surely, 2^260369564400 is an apocalyptic number.

260369564400 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 260369564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510148003200).

260369564400 is an abundant number, since it is smaller than the sum of its proper divisors (759926442000).

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

260369564400 is a wasteful number, since it uses less digits than its factorization.

260369564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20254 (or 20237 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 260369564400 in words is "two hundred sixty billion, three hundred sixty-nine million, five hundred sixty-four thousand, four hundred".