20289153600 has 189 divisors, whose sum is σ = 72173245417. Its totient is φ = 5405882880.

The previous prime is 20289153587. The next prime is 20289153631. The reversal of 20289153600 is 635198202.

The square root of 20289153600 is 142440.

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

20289153600 is a `hidden beast` number, since 2 + 0 + 289 + 15 + 360 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7304095296 + 12985058304 = 85464^2 + 113952^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17092207 + ... + 17093393.

Almost surely, 2^20289153600 is an apocalyptic number.

20289153600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20289153600 is the 142440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20289153600

20289153600 is an abundant number, since it is smaller than the sum of its proper divisors (51884091817).

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

20289153600 is an equidigital number, since it uses as much as digits as its factorization.

20289153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 20289153600 by its sum of digits (36), we get a square (730409529600 = 854640²).

20289153600 divided by its sum of digits (36) gives a square (563587600 = 23740²).

It can be divided in two parts, 20289 and 153600, that added together give a square (173889 = 417²).

The spelling of 20289153600 in words is "twenty billion, two hundred eighty-nine million, one hundred fifty-three thousand, six hundred".