260165950181280 has 2880 divisors, whose sum is σ = 1139537286074880. Its totient is φ = 55421634723840.

The previous prime is 260165950181279. The next prime is 260165950181297. The reversal of 260165950181280 is 82181059561062.

260165950181280 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 6 + 5 + 9 + 501 + 8 + 128 + 0 = 666.

260165950181280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 107373482149 + ... + 107373484571.

It is an arithmetic number, because the mean of its divisors is an integer number (395672668776).

Almost surely, 2^{260165950181280} is an apocalyptic number.

260165950181280 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 260165950181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569768643037440).

260165950181280 is an abundant number, since it is smaller than the sum of its proper divisors (879371335893600).

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

260165950181280 is a wasteful number, since it uses less digits than its factorization.

260165950181280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 260165950181280 in words is "two hundred sixty trillion, one hundred sixty-five billion, nine hundred fifty million, one hundred eighty-one thousand, two hundred eighty".