19480348800 has 768 divisors, whose sum is σ = 78923520000. Its totient is φ = 4653158400.

The previous prime is 19480348793. The next prime is 19480348817. The reversal of 19480348800 is 884308491.

19480348800 is a `hidden beast` number, since 1 + 94 + 80 + 3 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×19480348800² (a number of 21 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97891101 + ... + 97891299.

It is an arithmetic number, because the mean of its divisors is an integer number (102765000).

Almost surely, 2^19480348800 is an apocalyptic number.

19480348800 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 19480348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760000).

19480348800 is an abundant number, since it is smaller than the sum of its proper divisors (59443171200).

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

19480348800 is a wasteful number, since it uses less digits than its factorization.

19480348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 19480348800 in words is "nineteen billion, four hundred eighty million, three hundred forty-eight thousand, eight hundred".