260876534557824 has 640 divisors, whose sum is σ = 832534053120000. Its totient is φ = 80851385751552.

The previous prime is 260876534557823. The next prime is 260876534557829. The reversal of 260876534557824 is 428755435678062.

260876534557824 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 7 + 6 + 5 + 3 + 45 + 578 + 2 + 4 = 666.

It is a super-2 number, since 2×260876534557824² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (260876534557823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2598865267 + ... + 2598965645.

It is an arithmetic number, because the mean of its divisors is an integer number (1300834458000).

Almost surely, 2^{260876534557824} is an apocalyptic number.

260876534557824 is a gapful number since it is divisible by the number (24) 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 260876534557824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416267026560000).

260876534557824 is an abundant number, since it is smaller than the sum of its proper divisors (571657518562176).

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

260876534557824 is a wasteful number, since it uses less digits than its factorization.

260876534557824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100670 (or 100649 counting only the distinct ones).

The product of its (nonzero) digits is 2709504000, while the sum is 72.

The spelling of 260876534557824 in words is "two hundred sixty trillion, eight hundred seventy-six billion, five hundred thirty-four million, five hundred fifty-seven thousand, eight hundred twenty-four".