260576870400 has 2304 divisors, whose sum is σ = 1277850712320. Its totient is φ = 50960793600.

The previous prime is 260576870399. The next prime is 260576870429. The reversal of 260576870400 is 4078675062.

260576870400 is a `hidden beast` number, since 2 + 6 + 0 + 576 + 8 + 70 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 143 ways as a sum of consecutive naturals, for example, 15328051192 + ... + 15328051208.

It is an arithmetic number, because the mean of its divisors is an integer number (554622705).

Almost surely, 2^260576870400 is an apocalyptic number.

260576870400 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 260576870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638925356160).

260576870400 is an abundant number, since it is smaller than the sum of its proper divisors (1017273841920).

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

260576870400 is an equidigital number, since it uses as much as digits as its factorization.

260576870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 260576870400 in words is "two hundred sixty billion, five hundred seventy-six million, eight hundred seventy thousand, four hundred".