19980906400 has 216 divisors, whose sum is σ = 61108549740. Its totient is φ = 6323466240.

The previous prime is 19980906391. The next prime is 19980906419. The reversal of 19980906400 is 460908991.

It can be written as a sum of positive squares in 6 ways, for example, as 9079040656 + 10901865744 = 95284^2 + 104412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489996 + ... + 529204.

Almost surely, 2^19980906400 is an apocalyptic number.

19980906400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19980906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30554274870).

19980906400 is an abundant number, since it is smaller than the sum of its proper divisors (41127643340).

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

19980906400 is a wasteful number, since it uses less digits than its factorization.

19980906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39256 (or 39236 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 19980906400 in words is "nineteen billion, nine hundred eighty million, nine hundred six thousand, four hundred".