19954660320 has 576 divisors, whose sum is σ = 84586844160. Its totient is φ = 4180377600.

The previous prime is 19954660307. The next prime is 19954660357. The reversal of 19954660320 is 2306645991.

19954660320 is a `hidden beast` number, since 19 + 9 + 5 + 4 + 6 + 603 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5935440 + ... + 5938800.

It is an arithmetic number, because the mean of its divisors is an integer number (146852160).

Almost surely, 2^19954660320 is an apocalyptic number.

19954660320 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 19954660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42293422080).

19954660320 is an abundant number, since it is smaller than the sum of its proper divisors (64632183840).

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

19954660320 is a wasteful number, since it uses less digits than its factorization.

19954660320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 19954660320 in words is "nineteen billion, nine hundred fifty-four million, six hundred sixty thousand, three hundred twenty".