260179153920 has 1760 divisors, whose sum is σ = 1155608467200. Its totient is φ = 54655451136.

The previous prime is 260179153903. The next prime is 260179153963. The reversal of 260179153920 is 29351971062.

It is a happy number.

260179153920 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 7 + 91 + 539 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2923361236 + ... + 2923361324.

It is an arithmetic number, because the mean of its divisors is an integer number (656595720).

Almost surely, 2^260179153920 is an apocalyptic number.

260179153920 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 260179153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577804233600).

260179153920 is an abundant number, since it is smaller than the sum of its proper divisors (895429313280).

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

260179153920 is a wasteful number, since it uses less digits than its factorization.

260179153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 260179153920 in words is "two hundred sixty billion, one hundred seventy-nine million, one hundred fifty-three thousand, nine hundred twenty".