19280988736 has 63 divisors (see below), whose sum is σ = 40683578907. Its totient is φ = 9064519680.

The previous prime is 19280988707. The next prime is 19280988737. The reversal of 19280988736 is 63788908291.

The square root of 19280988736 is 138856.

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 2625537600 + 16655451136 = 51240^2 + 129056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19280988737) 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, 18883906 + ... + 18884926.

Almost surely, 2^19280988736 is an apocalyptic number.

19280988736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19280988736 is the 138856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19280988736

19280988736 is an abundant number, since it is smaller than the sum of its proper divisors (21402590171).

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

19280988736 is an frugal number, since it uses more digits than its factorization.

19280988736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

It can be divided in two parts, 19280 and 988736, that added together give a square (1008016 = 1004²).

The spelling of 19280988736 in words is "nineteen billion, two hundred eighty million, nine hundred eighty-eight thousand, seven hundred thirty-six".