2555012553408 has 336 divisors, whose sum is σ = 8762654234880. Its totient is φ = 696336463872.

The previous prime is 2555012553407. The next prime is 2555012553419. The reversal of 2555012553408 is 8043552105552.

2555012553408 is a `hidden beast` number, since 2 + 5 + 5 + 50 + 1 + 2 + 553 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2555012553408³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2555012553407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9573391 + ... + 9836657.

It is an arithmetic number, because the mean of its divisors is an integer number (26079328080).

Almost surely, 2^{2555012553408} is an apocalyptic number.

2555012553408 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 2555012553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381327117440).

2555012553408 is an abundant number, since it is smaller than the sum of its proper divisors (6207641681472).

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

2555012553408 is a wasteful number, since it uses less digits than its factorization.

2555012553408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263404 (or 263391 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 2555012553408 in words is "two trillion, five hundred fifty-five billion, twelve million, five hundred fifty-three thousand, four hundred eight".