260629518240 has 1152 divisors, whose sum is σ = 1164973259520. Its totient is φ = 53922226176.

The previous prime is 260629518181. The next prime is 260629518287. The reversal of 260629518240 is 42815926062.

260629518240 is a `hidden beast` number, since 2 + 6 + 0 + 629 + 5 + 18 + 2 + 4 + 0 = 666.

It is a super-3 number, since 3×260629518240³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145846627 + ... + 145848413.

It is an arithmetic number, because the mean of its divisors is an integer number (1011261510).

Almost surely, 2^260629518240 is an apocalyptic number.

260629518240 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 260629518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582486629760).

260629518240 is an abundant number, since it is smaller than the sum of its proper divisors (904343741280).

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

260629518240 is a wasteful number, since it uses less digits than its factorization.

260629518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 260629518240 in words is "two hundred sixty billion, six hundred twenty-nine million, five hundred eighteen thousand, two hundred forty".