2675545713360 has 1200 divisors, whose sum is σ = 10675406016000. Its totient is φ = 619027329024.

The previous prime is 2675545713283. The next prime is 2675545713383. The reversal of 2675545713360 is 633175455762.

2675545713360 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 5 + 4 + 571 + 3 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2675545713297 and 2675545713306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3100284289 + ... + 3100285151.

It is an arithmetic number, because the mean of its divisors is an integer number (8896171680).

Almost surely, 2^{2675545713360} is an apocalyptic number.

2675545713360 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 2675545713360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337703008000).

2675545713360 is an abundant number, since it is smaller than the sum of its proper divisors (7999860302640).

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

2675545713360 is a wasteful number, since it uses less digits than its factorization.

2675545713360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 2675545713360 in words is "two trillion, six hundred seventy-five billion, five hundred forty-five million, seven hundred thirteen thousand, three hundred sixty".