2555501211648 has 1248 divisors, whose sum is σ = 9840932133120. Its totient is φ = 647679836160.

The previous prime is 2555501211623. The next prime is 2555501211689. The reversal of 2555501211648 is 8461121055552.

2555501211648 is a `hidden beast` number, since 2 + 55 + 550 + 1 + 2 + 1 + 1 + 6 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2563190286 + ... + 2563191282.

Almost surely, 2^{2555501211648} is an apocalyptic number.

2555501211648 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 2555501211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920466066560).

2555501211648 is an abundant number, since it is smaller than the sum of its proper divisors (7285430921472).

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

2555501211648 is a wasteful number, since it uses less digits than its factorization.

2555501211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 2555501211648 in words is "two trillion, five hundred fifty-five billion, five hundred one million, two hundred eleven thousand, six hundred forty-eight".