19545948000 has 336 divisors, whose sum is σ = 72014394816. Its totient is φ = 5211475200.

The previous prime is 19545947923. The next prime is 19545948013. The reversal of 19545948000 is 84954591.

19545948000 is a `hidden beast` number, since 1 + 9 + 54 + 594 + 8 + 0 + 0 + 0 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 2912649 + ... + 2919351.

It is an arithmetic number, because the mean of its divisors is an integer number (214328556).

Almost surely, 2^19545948000 is an apocalyptic number.

19545948000 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 19545948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36007197408).

19545948000 is an abundant number, since it is smaller than the sum of its proper divisors (52468446816).

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

19545948000 is an frugal number, since it uses more digits than its factorization.

19545948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 19545948000 in words is "nineteen billion, five hundred forty-five million, nine hundred forty-eight thousand".