260667571551408 has 800 divisors, whose sum is σ = 914475083499520. Its totient is φ = 70997665052160.

The previous prime is 260667571551389. The next prime is 260667571551511. The reversal of 260667571551408 is 804155175766062.

It is a happy number.

260667571551408 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 6 + 7 + 5 + 71 + 551 + 4 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2154270366 + ... + 2154391362.

Almost surely, 2^{260667571551408} is an apocalyptic number.

260667571551408 is a gapful number since it is divisible by the number (28) 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 260667571551408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457237541749760).

260667571551408 is an abundant number, since it is smaller than the sum of its proper divisors (653807511948112).

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

260667571551408 is a wasteful number, since it uses less digits than its factorization.

260667571551408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121140 (or 121107 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 260667571551408 in words is "two hundred sixty trillion, six hundred sixty-seven billion, five hundred seventy-one million, five hundred fifty-one thousand, four hundred eight".