2675813253120 has 1440 divisors, whose sum is σ = 11571201734400. Its totient is φ = 577895399424.

The previous prime is 2675813253067. The next prime is 2675813253187. The reversal of 2675813253120 is 213523185762.

2675813253120 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 8 + 1 + 325 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7060193091 + ... + 7060193469.

It is an arithmetic number, because the mean of its divisors is an integer number (8035556760).

Almost surely, 2^{2675813253120} is an apocalyptic number.

2675813253120 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 2675813253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785600867200).

2675813253120 is an abundant number, since it is smaller than the sum of its proper divisors (8895388481280).

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

2675813253120 is an frugal number, since it uses more digits than its factorization.

2675813253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2675813253120 in words is "two trillion, six hundred seventy-five billion, eight hundred thirteen million, two hundred fifty-three thousand, one hundred twenty".