19955946240 has 288 divisors, whose sum is σ = 74545497600. Its totient is φ = 5041336320.

The previous prime is 19955946229. The next prime is 19955946289. The reversal of 19955946240 is 4264955991.

19955946240 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 5 + 9 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641445 + ... + 671835.

Almost surely, 2^19955946240 is an apocalyptic number.

19955946240 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 19955946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37272748800).

19955946240 is an abundant number, since it is smaller than the sum of its proper divisors (54589551360).

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

19955946240 is a wasteful number, since it uses less digits than its factorization.

19955946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30440 (or 30420 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 19955946240 in words is "nineteen billion, nine hundred fifty-five million, nine hundred forty-six thousand, two hundred forty".