20075143728400 has 30 divisors (see below), whose sum is σ = 48230532808442. Its totient is φ = 8030057491200.

The previous prime is 20075143728349. The next prime is 20075143728413. The reversal of 20075143728400 is 482734157002.

It can be written as a sum of positive squares in 3 ways, for example, as 3803794910224 + 16271348818176 = 1950332^2 + 4033776^2 .

It is a super-2 number, since 2×20075143728400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25093929261 + ... + 25093930060.

Almost surely, 2^{20075143728400} is an apocalyptic number.

20075143728400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20075143728400 is an abundant number, since it is smaller than the sum of its proper divisors (28155389080042).

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

20075143728400 is a wasteful number, since it uses less digits than its factorization.

20075143728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50187859339 (or 50187859328 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 20075143728400 in words is "twenty trillion, seventy-five billion, one hundred forty-three million, seven hundred twenty-eight thousand, four hundred".