260781588587520 has 5280 divisors, whose sum is σ = 1265852750932224. Its totient is φ = 48918469017600.

The previous prime is 260781588587519. The next prime is 260781588587651. The reversal of 260781588587520 is 25785885187062.

260781588587520 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 8 + 15 + 8 + 8 + 5 + 87 + 520 = 666.

260781588587520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 838526008165 + ... + 838526008475.

Almost surely, 2^{260781588587520} is an apocalyptic number.

260781588587520 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 260781588587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632926375466112).

260781588587520 is an abundant number, since it is smaller than the sum of its proper divisors (1005071162344704).

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

260781588587520 is a wasteful number, since it uses less digits than its factorization.

260781588587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 602112000, while the sum is 72.

The spelling of 260781588587520 in words is "two hundred sixty trillion, seven hundred eighty-one billion, five hundred eighty-eight million, five hundred eighty-seven thousand, five hundred twenty".