19425873600 has 1680 divisors, whose sum is σ = 91464384000. Its totient is φ = 4023613440.

The previous prime is 19425873473. The next prime is 19425873631. The reversal of 19425873600 is 637852491.

19425873600 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 587 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 239 ways as a sum of consecutive naturals, for example, 844603189 + ... + 844603211.

It is a 1-persistent number, because it is pandigital, but 2⋅19425873600 = 38851747200 is not.

Almost surely, 2^19425873600 is an apocalyptic number.

19425873600 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 19425873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45732192000).

19425873600 is an abundant number, since it is smaller than the sum of its proper divisors (72038510400).

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

19425873600 is a wasteful number, since it uses less digits than its factorization.

19425873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 19425 and 873600, that added together give a square (893025 = 945²).

The spelling of 19425873600 in words is "nineteen billion, four hundred twenty-five million, eight hundred seventy-three thousand, six hundred".