19775448000 has 1792 divisors, whose sum is σ = 95858380800. Its totient is φ = 3870720000.

The previous prime is 19775447981. The next prime is 19775448013. The reversal of 19775448000 is 84457791.

It is a happy number.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 482327980 + ... + 482328020.

It is an arithmetic number, because the mean of its divisors is an integer number (53492400).

Almost surely, 2^19775448000 is an apocalyptic number.

19775448000 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 19775448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47929190400).

19775448000 is an abundant number, since it is smaller than the sum of its proper divisors (76082932800).

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

19775448000 is a wasteful number, since it uses less digits than its factorization.

19775448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 19775448000 in words is "nineteen billion, seven hundred seventy-five million, four hundred forty-eight thousand".