260007518453760 has 4800 divisors, whose sum is σ = 1232061009715200. Its totient is φ = 50871612211200.

The previous prime is 260007518453759. The next prime is 260007518453773. The reversal of 260007518453760 is 67354815700062.

260007518453760 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 0 + 7 + 518 + 4 + 53 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 260007518453697 and 260007518453706.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7027230228462 + ... + 7027230228498.

It is an arithmetic number, because the mean of its divisors is an integer number (256679377024).

Almost surely, 2^{260007518453760} is an apocalyptic number.

260007518453760 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 260007518453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616030504857600).

260007518453760 is an abundant number, since it is smaller than the sum of its proper divisors (972053491261440).

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

260007518453760 is an frugal number, since it uses more digits than its factorization.

260007518453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 260007518453760 in words is "two hundred sixty trillion, seven billion, five hundred eighteen million, four hundred fifty-three thousand, seven hundred sixty".