19792075163616 has 1152 divisors, whose sum is σ = 70287048179712. Its totient is φ = 5162766336000.

The previous prime is 19792075163603. The next prime is 19792075163681. The reversal of 19792075163616 is 61636157029791.

It is a happy number.

19792075163616 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 2 + 0 + 7 + 5 + 1 + 6 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18108027966 + ... + 18108029058.

It is an arithmetic number, because the mean of its divisors is an integer number (61013062656).

Almost surely, 2^{19792075163616} is an apocalyptic number.

19792075163616 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 19792075163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35143524089856).

19792075163616 is an abundant number, since it is smaller than the sum of its proper divisors (50494973016096).

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

19792075163616 is a wasteful number, since it uses less digits than its factorization.

19792075163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 19792075163616 in words is "nineteen trillion, seven hundred ninety-two billion, seventy-five million, one hundred sixty-three thousand, six hundred sixteen".