1960742070225 has 225 divisors, whose sum is σ = 3866100136437. Its totient is φ = 982381115520.

The previous prime is 1960742070193. The next prime is 1960742070239. The reversal of 1960742070225 is 5220702470691.

The square root of 1960742070225 is 1400265.

It is a perfect power (a square), and thus also a powerful number.

1960742070225 is a `hidden beast` number, since 19 + 607 + 4 + 2 + 0 + 7 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 1714860963729 + 245881106496 = 1309527^2 + 495864^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 1960742070225 - 2⁵ = 1960742070193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 52993028907 + ... + 52993028943.

Almost surely, 2^{1960742070225} is an apocalyptic number.

1960742070225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1960742070225 is the 1400265-th square number.

1960742070225 is the 700133-rd centered octagonal number.

It is an amenable number.

1960742070225 is a deficient number, since it is larger than the sum of its proper divisors (1905358066212).

1960742070225 is an frugal number, since it uses more digits than its factorization.

1960742070225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1960742070225 in words is "one trillion, nine hundred sixty billion, seven hundred forty-two million, seventy thousand, two hundred twenty-five".