260710164000 has 1920 divisors, whose sum is σ = 1193906697984. Its totient is φ = 54743040000.

The previous prime is 260710163971. The next prime is 260710164037. The reversal of 260710164000 is 461017062.

260710164000 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 10 + 1 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×260710164000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 787643835 + ... + 787644165.

Almost surely, 2^260710164000 is an apocalyptic number.

260710164000 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 260710164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596953348992).

260710164000 is an abundant number, since it is smaller than the sum of its proper divisors (933196533984).

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

260710164000 is a wasteful number, since it uses less digits than its factorization.

260710164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 260710164000 in words is "two hundred sixty billion, seven hundred ten million, one hundred sixty-four thousand".