20076000390625 has 81 divisors (see below), whose sum is σ = 25715440446969. Its totient is φ = 15673226250000.

The previous prime is 20076000390539. The next prime is 20076000390673. The reversal of 20076000390625 is 52609300067002.

The square root of 20076000390625 is 4480625.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14273760031969 + 5802240358656 = 3778063^2 + 2408784^2 .

It is not a de Polignac number, because 20076000390625 - 2²⁷ = 20075866172897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 187626171822 + ... + 187626171928.

Almost surely, 2^{20076000390625} is an apocalyptic number.

20076000390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20076000390625 is the 4480625-th square number.

20076000390625 is the 2240313-rd centered octagonal number.

It is an amenable number.

20076000390625 is a deficient number, since it is larger than the sum of its proper divisors (5639440056344).

20076000390625 is an frugal number, since it uses more digits than its factorization.

20076000390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 20076000390625 in words is "twenty trillion, seventy-six billion, three hundred ninety thousand, six hundred twenty-five".