20394617281600 has 63 divisors (see below), whose sum is σ = 50183949643711. Its totient is φ = 8157774656000.

The previous prime is 20394617281573. The next prime is 20394617281601. The reversal of 20394617281600 is 618271649302.

It is a happy number.

The square root of 20394617281600 is 4516040.

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 4493280709696 + 15901336571904 = 2119736^2 + 3987648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20394617281601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 180585150 + ... + 180698050.

Almost surely, 2^{20394617281600} is an apocalyptic number.

20394617281600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20394617281600 is the 4516040-th square number.

It is an amenable number.

20394617281600 is an abundant number, since it is smaller than the sum of its proper divisors (29789332362111).

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

20394617281600 is an frugal number, since it uses more digits than its factorization.

20394617281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225824 (or 112908 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 20394617281600 by its sum of digits (49), we get a square (999336246798400 = 31612280²).

The spelling of 20394617281600 in words is "twenty trillion, three hundred ninety-four billion, six hundred seventeen million, two hundred eighty-one thousand, six hundred".