19105729680 has 320 divisors, whose sum is σ = 63638784000. Its totient is φ = 4727771136.

The previous prime is 19105729651. The next prime is 19105729717. The reversal of 19105729680 is 8692750191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72645229 + ... + 72645491.

It is an arithmetic number, because the mean of its divisors is an integer number (198871200).

Almost surely, 2^19105729680 is an apocalyptic number.

19105729680 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 19105729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31819392000).

19105729680 is an abundant number, since it is smaller than the sum of its proper divisors (44533054320).

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

19105729680 is a wasteful number, since it uses less digits than its factorization.

19105729680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 19105729680 in words is "nineteen billion, one hundred five million, seven hundred twenty-nine thousand, six hundred eighty".