2588533200660 has 192 divisors, whose sum is σ = 8201749893120. Its totient is φ = 604231918080.

The previous prime is 2588533200623. The next prime is 2588533200667. The reversal of 2588533200660 is 660023358852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588533200667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6840127 + ... + 7208633.

It is an arithmetic number, because the mean of its divisors is an integer number (42717447360).

Almost surely, 2^{2588533200660} is an apocalyptic number.

2588533200660 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 2588533200660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100874946560).

2588533200660 is an abundant number, since it is smaller than the sum of its proper divisors (5613216692460).

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

2588533200660 is a wasteful number, since it uses less digits than its factorization.

2588533200660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368926 (or 368924 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 2588533200660 in words is "two trillion, five hundred eighty-eight billion, five hundred thirty-three million, two hundred thousand, six hundred sixty".