2555211217608 has 384 divisors, whose sum is σ = 8491956480000. Its totient is φ = 697318098048.

The previous prime is 2555211217607. The next prime is 2555211217721. The reversal of 2555211217608 is 8067121125552.

It is a happy number.

2555211217608 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 2 + 11 + 21 + 7 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (2555211217607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687067573 + ... + 687071291.

It is an arithmetic number, because the mean of its divisors is an integer number (22114470000).

Almost surely, 2^{2555211217608} is an apocalyptic number.

2555211217608 is a gapful number since it is divisible by the number (28) 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 2555211217608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245978240000).

2555211217608 is an abundant number, since it is smaller than the sum of its proper divisors (5936745262392).

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

2555211217608 is a wasteful number, since it uses less digits than its factorization.

2555211217608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 2555211217608 in words is "two trillion, five hundred fifty-five billion, two hundred eleven million, two hundred seventeen thousand, six hundred eight".