19487781600 has 576 divisors, whose sum is σ = 75406173696. Its totient is φ = 4278804480.

The previous prime is 19487781497. The next prime is 19487781617. The reversal of 19487781600 is 618778491.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66511054 + ... + 66511346.

It is an arithmetic number, because the mean of its divisors is an integer number (130913496).

Almost surely, 2^19487781600 is an apocalyptic number.

19487781600 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 19487781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37703086848).

19487781600 is an abundant number, since it is smaller than the sum of its proper divisors (55918392096).

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

19487781600 is a wasteful number, since it uses less digits than its factorization.

19487781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 19487781600 in words is "nineteen billion, four hundred eighty-seven million, seven hundred eighty-one thousand, six hundred".