19738605120 has 336 divisors, whose sum is σ = 68674366080. Its totient is φ = 4800626688.

The previous prime is 19738605109. The next prime is 19738605143. The reversal of 19738605120 is 2150683791.

It is a super-2 number, since 2×19738605120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14438677 + ... + 14440043.

Almost surely, 2^19738605120 is an apocalyptic number.

19738605120 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 19738605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34337183040).

19738605120 is an abundant number, since it is smaller than the sum of its proper divisors (48935760960).

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

19738605120 is a wasteful number, since it uses less digits than its factorization.

19738605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 19738605120 in words is "nineteen billion, seven hundred thirty-eight million, six hundred five thousand, one hundred twenty".