18953028900 has 243 divisors, whose sum is σ = 64511274009. Its totient is φ = 4652144640.

The previous prime is 18953028893. The next prime is 18953028917. The reversal of 18953028900 is 982035981.

It is a happy number.

The square root of 18953028900 is 137670.

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

18953028900 is a `hidden beast` number, since 1 + 8 + 9 + 530 + 28 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18480227364 + 472801536 = 135942^2 + 21744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53691124 + ... + 53691476.

Almost surely, 2^18953028900 is an apocalyptic number.

18953028900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18953028900 is the 137670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18953028900

18953028900 is an abundant number, since it is smaller than the sum of its proper divisors (45558245109).

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

18953028900 is a wasteful number, since it uses less digits than its factorization.

18953028900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 18953028900 in words is "eighteen billion, nine hundred fifty-three million, twenty-eight thousand, nine hundred".