19790134562016 has 576 divisors, whose sum is σ = 70720361712000. Its totient is φ = 5216326262784.

The previous prime is 19790134561979. The next prime is 19790134562101. The reversal of 19790134562016 is 61026543109791.

19790134562016 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 0 + 1 + 3 + 4 + 5 + 620 + 1 + 6 = 666.

It is a super-2 number, since 2×19790134562016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2949785670 + ... + 2949792378.

It is an arithmetic number, because the mean of its divisors is an integer number (122778405750).

Almost surely, 2^{19790134562016} is an apocalyptic number.

19790134562016 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 19790134562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35360180856000).

19790134562016 is an abundant number, since it is smaller than the sum of its proper divisors (50930227149984).

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

19790134562016 is a wasteful number, since it uses less digits than its factorization.

19790134562016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 19790134562016 in words is "nineteen trillion, seven hundred ninety billion, one hundred thirty-four million, five hundred sixty-two thousand, sixteen".