19057379957616 has 1280 divisors, whose sum is σ = 71810003865600. Its totient is φ = 4276825620480.

The previous prime is 19057379957557. The next prime is 19057379957621. The reversal of 19057379957616 is 61675997375091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7884723640 + ... + 7884726056.

It is an arithmetic number, because the mean of its divisors is an integer number (56101565520).

Almost surely, 2^{19057379957616} is an apocalyptic number.

19057379957616 is a gapful number since it is divisible by the number (16) 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 19057379957616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35905001932800).

19057379957616 is an abundant number, since it is smaller than the sum of its proper divisors (52752623907984).

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

19057379957616 is a wasteful number, since it uses less digits than its factorization.

19057379957616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 675126900, while the sum is 75.

The spelling of 19057379957616 in words is "nineteen trillion, fifty-seven billion, three hundred seventy-nine million, nine hundred fifty-seven thousand, six hundred sixteen".