260832836880 has 2160 divisors, whose sum is σ = 1215409208832. Its totient is φ = 51732172800.

The previous prime is 260832836879. The next prime is 260832836993. The reversal of 260832836880 is 88638238062.

260832836880 is a `hidden beast` number, since 2 + 608 + 3 + 28 + 3 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 431 ways as a sum of consecutive naturals, for example, 3573052524 + ... + 3573052596.

Almost surely, 2^260832836880 is an apocalyptic number.

260832836880 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 260832836880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607704604416).

260832836880 is an abundant number, since it is smaller than the sum of its proper divisors (954576371952).

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

260832836880 is a wasteful number, since it uses less digits than its factorization.

260832836880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 260832836880 in words is "two hundred sixty billion, eight hundred thirty-two million, eight hundred thirty-six thousand, eight hundred eighty".