3255587217540 has 1296 divisors, whose sum is σ = 12494181353472. Its totient is φ = 683867971584.

The previous prime is 3255587217523. The next prime is 3255587217577. The reversal of 3255587217540 is 457127855523.

3255587217540 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 5 + 87 + 2 + 17 + 540 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 25634544957 + ... + 25634545083.

It is an arithmetic number, because the mean of its divisors is an integer number (9640572032).

Almost surely, 2^{3255587217540} is an apocalyptic number.

3255587217540 is a gapful number since it is divisible by the number (30) 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 3255587217540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247090676736).

3255587217540 is an abundant number, since it is smaller than the sum of its proper divisors (9238594135932).

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

3255587217540 is a wasteful number, since it uses less digits than its factorization.

3255587217540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 3255587217540 in words is "three trillion, two hundred fifty-five billion, five hundred eighty-seven million, two hundred seventeen thousand, five hundred forty".