2585197762560 has 1728 divisors, whose sum is σ = 11141838489600. Its totient is φ = 562846040064.

The previous prime is 2585197762493. The next prime is 2585197762577. The reversal of 2585197762560 is 652677915852.

2585197762560 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 1 + 9 + 7 + 7 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10816726921 + ... + 10816727159.

It is an arithmetic number, because the mean of its divisors is an integer number (6447823200).

Almost surely, 2^{2585197762560} is an apocalyptic number.

2585197762560 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 2585197762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570919244800).

2585197762560 is an abundant number, since it is smaller than the sum of its proper divisors (8556640727040).

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

2585197762560 is an frugal number, since it uses more digits than its factorization.

2585197762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 2585197762560 in words is "two trillion, five hundred eighty-five billion, one hundred ninety-seven million, seven hundred sixty-two thousand, five hundred sixty".