260606602800 has 240 divisors, whose sum is σ = 927964356480. Its totient is φ = 69465288960.

The previous prime is 260606602747. The next prime is 260606602859. The reversal of 260606602800 is 8206606062.

260606602800 is a `hidden beast` number, since 26 + 0 + 606 + 6 + 0 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38304199 + ... + 38311001.

It is an arithmetic number, because the mean of its divisors is an integer number (3866518152).

Almost surely, 2^260606602800 is an apocalyptic number.

260606602800 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 260606602800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463982178240).

260606602800 is an abundant number, since it is smaller than the sum of its proper divisors (667357753680).

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

260606602800 is a wasteful number, since it uses less digits than its factorization.

260606602800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10377 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 260606602800 in words is "two hundred sixty billion, six hundred six million, six hundred two thousand, eight hundred".