2725870689360 has 1600 divisors, whose sum is σ = 12324755165184. Its totient is φ = 542851891200.

The previous prime is 2725870689349. The next prime is 2725870689427. The reversal of 2725870689360 is 639860785272.

2725870689360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2725870689360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 749481462 + ... + 749485098.

Almost surely, 2^{2725870689360} is an apocalyptic number.

2725870689360 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 2725870689360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162377582592).

2725870689360 is an abundant number, since it is smaller than the sum of its proper divisors (9598884475824).

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

2725870689360 is a wasteful number, since it uses less digits than its factorization.

2725870689360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 2725870689360 in words is "two trillion, seven hundred twenty-five billion, eight hundred seventy million, six hundred eighty-nine thousand, three hundred sixty".