19490971680 has 288 divisors, whose sum is σ = 69184559808. Its totient is φ = 5181926400.

The previous prime is 19490971667. The next prime is 19490971681. The reversal of 19490971680 is 8617909491.

19490971680 is a `hidden beast` number, since 1 + 9 + 490 + 9 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (19490971681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19089570 + ... + 19090590.

It is an arithmetic number, because the mean of its divisors is an integer number (240224166).

Almost surely, 2^19490971680 is an apocalyptic number.

19490971680 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 19490971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34592279904).

19490971680 is an abundant number, since it is smaller than the sum of its proper divisors (49693588128).

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

19490971680 is a wasteful number, since it uses less digits than its factorization.

19490971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 19490971680 in words is "nineteen billion, four hundred ninety million, nine hundred seventy-one thousand, six hundred eighty".