19052280900 has 243 divisors, whose sum is σ = 61716148221. Its totient is φ = 4916076480.

The previous prime is 19052280889. The next prime is 19052280911. The reversal of 19052280900 is 908225091.

The square root of 19052280900 is 138030.

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

It is an interprime number because it is at equal distance from previous prime (19052280889) and next prime (19052280911).

It can be written as a sum of positive squares in only one way, i.e., 6858821124 + 12193459776 = 82818^2 + 110424^2 .

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 80 ways as a sum of consecutive naturals, for example, 178058647 + ... + 178058753.

Almost surely, 2^19052280900 is an apocalyptic number.

19052280900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19052280900 is the 138030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19052280900

19052280900 is an abundant number, since it is smaller than the sum of its proper divisors (42663867321).

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

19052280900 is a wasteful number, since it uses less digits than its factorization.

19052280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 19052280900 by its sum of digits (36), we get a square (685882112400 = 828180²).

19052280900 divided by its sum of digits (36) gives a square (529230025 = 23005²).

The spelling of 19052280900 in words is "nineteen billion, fifty-two million, two hundred eighty thousand, nine hundred".