260025746400 has 1728 divisors, whose sum is σ = 1167000307200. Its totient is φ = 55180984320.

The previous prime is 260025746377. The next prime is 260025746443. The reversal of 260025746400 is 4647520062.

260025746400 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 2 + 5 + 7 + 4 + 640 + 0 = 666.

It is a super-2 number, since 2×260025746400² (a number of 24 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 2301112744 + ... + 2301112856.

It is an arithmetic number, because the mean of its divisors is an integer number (675347400).

Almost surely, 2^260025746400 is an apocalyptic number.

260025746400 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 260025746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583500153600).

260025746400 is an abundant number, since it is smaller than the sum of its proper divisors (906974560800).

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

260025746400 is a wasteful number, since it uses less digits than its factorization.

260025746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 260025746400 in words is "two hundred sixty billion, twenty-five million, seven hundred forty-six thousand, four hundred".