260675951608800 has 3456 divisors, whose sum is σ = 1282367091253248. Its totient is φ = 50092867584000.

The previous prime is 260675951608771. The next prime is 260675951608871. The reversal of 260675951608800 is 8806159576062.

260675951608800 is a `hidden beast` number, since 2 + 6 + 0 + 67 + 59 + 516 + 0 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9322826820 + ... + 9322854780.

It is an arithmetic number, because the mean of its divisors is an integer number (371055292608).

Almost surely, 2^{260675951608800} is an apocalyptic number.

260675951608800 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 260675951608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641183545626624).

260675951608800 is an abundant number, since it is smaller than the sum of its proper divisors (1021691139644448).

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

260675951608800 is a wasteful number, since it uses less digits than its factorization.

260675951608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28064 (or 28039 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 260675951608800 in words is "two hundred sixty trillion, six hundred seventy-five billion, nine hundred fifty-one million, six hundred eight thousand, eight hundred".