260025292800 has 2160 divisors, whose sum is σ = 1214327434320. Its totient is φ = 53827338240.

The previous prime is 260025292789. The next prime is 260025292817. The reversal of 260025292800 is 8292520062.

260025292800 is a `hidden beast` number, since 2 + 600 + 2 + 5 + 29 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×260025292800² (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 179 ways as a sum of consecutive naturals, for example, 4906137574 + ... + 4906137626.

It is an arithmetic number, because the mean of its divisors is an integer number (562188627).

Almost surely, 2^260025292800 is an apocalyptic number.

260025292800 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 260025292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607163717160).

260025292800 is an abundant number, since it is smaller than the sum of its proper divisors (954302141520).

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

260025292800 is a wasteful number, since it uses less digits than its factorization.

260025292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 260025292800 in words is "two hundred sixty billion, twenty-five million, two hundred ninety-two thousand, eight hundred".