19838772720 has 560 divisors, whose sum is σ = 75412173312. Its totient is φ = 4822364160.

The previous prime is 19838772713. The next prime is 19838772721. The reversal of 19838772720 is 2727783891.

19838772720 is a `hidden beast` number, since 198 + 387 + 7 + 2 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19838772721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 103867825 + ... + 103868015.

Almost surely, 2^19838772720 is an apocalyptic number.

19838772720 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 19838772720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37706086656).

19838772720 is an abundant number, since it is smaller than the sum of its proper divisors (55573400592).

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

19838772720 is a wasteful number, since it uses less digits than its factorization.

19838772720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 19838772720 in words is "nineteen billion, eight hundred thirty-eight million, seven hundred seventy-two thousand, seven hundred twenty".