2555313903360 has 576 divisors, whose sum is σ = 9568274688000. Its totient is φ = 643983851520.

The previous prime is 2555313903211. The next prime is 2555313903509. The reversal of 2555313903360 is 633093135552.

2555313903360 is a `hidden beast` number, since 2 + 5 + 553 + 1 + 3 + 9 + 0 + 33 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2555313903211) and next prime (2555313903509).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 283007326 + ... + 283016354.

It is an arithmetic number, because the mean of its divisors is an integer number (16611588000).

Almost surely, 2^{2555313903360} is an apocalyptic number.

2555313903360 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 2555313903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784137344000).

2555313903360 is an abundant number, since it is smaller than the sum of its proper divisors (7012960784640).

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

2555313903360 is a wasteful number, since it uses less digits than its factorization.

2555313903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 45.

The spelling of 2555313903360 in words is "two trillion, five hundred fifty-five billion, three hundred thirteen million, nine hundred three thousand, three hundred sixty".