19438978160 has 120 divisors (see below), whose sum is σ = 53693616960. Its totient is φ = 6522926592.

The previous prime is 19438978123. The next prime is 19438978177. The reversal of 19438978160 is 6187983491.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 19438978096 and 19438978105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131486 + ... + 236994.

It is an arithmetic number, because the mean of its divisors is an integer number (447446808).

Almost surely, 2^19438978160 is an apocalyptic number.

19438978160 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 19438978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26846808480).

19438978160 is an abundant number, since it is smaller than the sum of its proper divisors (34254638800).

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

19438978160 is a wasteful number, since it uses less digits than its factorization.

19438978160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105583 (or 105570 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The spelling of 19438978160 in words is "nineteen billion, four hundred thirty-eight million, nine hundred seventy-eight thousand, one hundred sixty".