2725953170064 has 80 divisors (see below), whose sum is σ = 7086179788800. Its totient is φ = 902967626880.

The previous prime is 2725953170023. The next prime is 2725953170117. The reversal of 2725953170064 is 4600713595272.

It is a junction number, because it is equal to n+sod(n) for n = 2725953169989 and 2725953170016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7570729 + ... + 7922615.

It is an arithmetic number, because the mean of its divisors is an integer number (88577247360).

Almost surely, 2^{2725953170064} is an apocalyptic number.

2725953170064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2725953170064 is an abundant number, since it is smaller than the sum of its proper divisors (4360226618736).

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

2725953170064 is a wasteful number, since it uses less digits than its factorization.

2725953170064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352908 (or 352902 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 2725953170064 in words is "two trillion, seven hundred twenty-five billion, nine hundred fifty-three million, one hundred seventy thousand, sixty-four".