19139935680 has 168 divisors, whose sum is σ = 67957378944. Its totient is φ = 4939315200.

The previous prime is 19139935667. The next prime is 19139935687. The reversal of 19139935680 is 8653993191.

19139935680 is a `hidden beast` number, since 191 + 399 + 3 + 5 + 68 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19139935687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17911 + ... + 196470.

It is an arithmetic number, because the mean of its divisors is an integer number (404508208).

Almost surely, 2^19139935680 is an apocalyptic number.

19139935680 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 19139935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33978689472).

19139935680 is an abundant number, since it is smaller than the sum of its proper divisors (48817443264).

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

19139935680 is a wasteful number, since it uses less digits than its factorization.

19139935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214435 (or 214422 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 19139935680 in words is "nineteen billion, one hundred thirty-nine million, nine hundred thirty-five thousand, six hundred eighty".