20457348080400 has 2025 divisors, whose sum is σ = 91873245092655. Its totient is φ = 4203114854400.

The previous prime is 20457348080359. The next prime is 20457348080453. The reversal of 20457348080400 is 408084375402.

It is a happy number.

The square root of 20457348080400 is 4522980.

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

20457348080400 is a `hidden beast` number, since 2 + 0 + 4 + 57 + 3 + 480 + 80 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4257173877264 + 16200174203136 = 2063292^2 + 4024944^2 .

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 404 ways as a sum of consecutive naturals, for example, 229857843556 + ... + 229857843644.

Almost surely, 2^{20457348080400} is an apocalyptic number.

20457348080400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20457348080400 is the 4522980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20457348080400

20457348080400 is an abundant number, since it is smaller than the sum of its proper divisors (71415897012255).

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

20457348080400 is an equidigital number, since it uses as much as digits as its factorization.

20457348080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 20457348080400 in words is "twenty trillion, four hundred fifty-seven billion, three hundred forty-eight million, eighty thousand, four hundred".