260051144031360 has 768 divisors, whose sum is σ = 1035018348624000. Its totient is φ = 59502565785600.

The previous prime is 260051144031307. The next prime is 260051144031407. The reversal of 260051144031360 is 63130441150062.

260051144031360 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 5 + 114 + 403 + 136 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323431440 + ... + 324234480.

Almost surely, 2^{260051144031360} is an apocalyptic number.

260051144031360 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 260051144031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517509174312000).

260051144031360 is an abundant number, since it is smaller than the sum of its proper divisors (774967204592640).

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

260051144031360 is a wasteful number, since it uses less digits than its factorization.

260051144031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803365 (or 803350 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 260051144031360 in words is "two hundred sixty trillion, fifty-one billion, one hundred forty-four million, thirty-one thousand, three hundred sixty".