19740748800 has 264 divisors, whose sum is σ = 65508945552. Its totient is φ = 5242880000.

The previous prime is 19740748793. The next prime is 19740748829. The reversal of 19740748800 is 884704791.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19740748800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30796480 + ... + 30797120.

Almost surely, 2^19740748800 is an apocalyptic number.

19740748800 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 19740748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32754472776).

19740748800 is an abundant number, since it is smaller than the sum of its proper divisors (45768196752).

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

19740748800 is a wasteful number, since it uses less digits than its factorization.

19740748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 19740748800 in words is "nineteen billion, seven hundred forty million, seven hundred forty-eight thousand, eight hundred".