20313229280400 has 1575 divisors, whose sum is σ = 86233939715451. Its totient is φ = 4579420769280.

The previous prime is 20313229280389. The next prime is 20313229280423. The reversal of 20313229280400 is 408292231302.

The square root of 20313229280400 is 4507020.

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

20313229280400 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 229 + 28 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111152892816 + 20202076387584 = 333396^2 + 4494672^2 .

It is a tau number, because it is divible by the number of its divisors (1575).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 278263414764 + ... + 278263414836.

Almost surely, 2^{20313229280400} is an apocalyptic number.

20313229280400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20313229280400 is the 4507020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313229280400

20313229280400 is an abundant number, since it is smaller than the sum of its proper divisors (65920710435051).

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

20313229280400 is an frugal number, since it uses more digits than its factorization.

20313229280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 20313229280400 by its sum of digits (36), we get a square (731276254094400 = 27042120²).

20313229280400 divided by its sum of digits (36) gives a square (564256368900 = 751170²).

The spelling of 20313229280400 in words is "twenty trillion, three hundred thirteen billion, two hundred twenty-nine million, two hundred eighty thousand, four hundred".