19476912000 has 960 divisors, whose sum is σ = 81562206960. Its totient is φ = 4109414400.

The previous prime is 19476911959. The next prime is 19476912023. The reversal of 19476912000 is 21967491.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 19476912000.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1498223994 + ... + 1498224006.

Almost surely, 2^19476912000 is an apocalyptic number.

19476912000 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 19476912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40781103480).

19476912000 is an abundant number, since it is smaller than the sum of its proper divisors (62085294960).

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

19476912000 is an frugal number, since it uses more digits than its factorization.

19476912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 19476912000 in words is "nineteen billion, four hundred seventy-six million, nine hundred twelve thousand".