20368998400 has 135 divisors (see below), whose sum is σ = 50741108481. Its totient is φ = 8111063040.

The previous prime is 20368998383. The next prime is 20368998401. The reversal of 20368998400 is 489986302.

The square root of 20368998400 is 142720.

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

It can be written as a sum of positive squares in only one way, i.e., 7332839424 + 13036158976 = 85632^2 + 114176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20368998401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91340689 + ... + 91340911.

Almost surely, 2^20368998400 is an apocalyptic number.

20368998400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20368998400 is the 142720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20368998400

20368998400 is an abundant number, since it is smaller than the sum of its proper divisors (30372110081).

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

20368998400 is an frugal number, since it uses more digits than its factorization.

20368998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 20368998400 by its sum of digits (49), we get a square (998080921600 = 999040²).

The spelling of 20368998400 in words is "twenty billion, three hundred sixty-eight million, nine hundred ninety-eight thousand, four hundred".