260175528480 has 768 divisors, whose sum is σ = 992839680000. Its totient is φ = 56035639296.

The previous prime is 260175528461. The next prime is 260175528533. The reversal of 260175528480 is 84825571062.

It is a super-2 number, since 2×260175528480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 579455296 + ... + 579455744.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760000).

Almost surely, 2^260175528480 is an apocalyptic number.

260175528480 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 260175528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840000).

260175528480 is an abundant number, since it is smaller than the sum of its proper divisors (732664151520).

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

260175528480 is a wasteful number, since it uses less digits than its factorization.

260175528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 260175528480 in words is "two hundred sixty billion, one hundred seventy-five million, five hundred twenty-eight thousand, four hundred eighty".