260087742720 has 1152 divisors, whose sum is σ = 1033472563200. Its totient is φ = 61535158272.

The previous prime is 260087742713. The next prime is 260087742763. The reversal of 260087742720 is 27247780062.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 2301661384 + ... + 2301661496.

It is an arithmetic number, because the mean of its divisors is an integer number (897111600).

Almost surely, 2^260087742720 is an apocalyptic number.

260087742720 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 260087742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516736281600).

260087742720 is an abundant number, since it is smaller than the sum of its proper divisors (773384820480).

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

260087742720 is a wasteful number, since it uses less digits than its factorization.

260087742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 260087742720 in words is "two hundred sixty billion, eighty-seven million, seven hundred forty-two thousand, seven hundred twenty".