2005701615700 has 36 divisors (see below), whose sum is σ = 4353396794460. Its totient is φ = 802091837440.

The previous prime is 2005701615647. The next prime is 2005701615721. The reversal of 2005701615700 is 75161075002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 465675219216 + 1540026396484 = 682404^2 + 1240978^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1932685 + ... + 2783284.

It is an arithmetic number, because the mean of its divisors is an integer number (120927688735).

Almost surely, 2^{2005701615700} is an apocalyptic number.

2005701615700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005701615700 is an abundant number, since it is smaller than the sum of its proper divisors (2347695178760).

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

2005701615700 is a wasteful number, since it uses less digits than its factorization.

2005701615700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720236 (or 4720229 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 34.

The spelling of 2005701615700 in words is "two trillion, five billion, seven hundred one million, six hundred fifteen thousand, seven hundred".