19628858013696 has 576 divisors, whose sum is σ = 62373153155040. Its totient is φ = 6145871708160.

The previous prime is 19628858013649. The next prime is 19628858013697. The reversal of 19628858013696 is 69631085882691.

19628858013696 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 8 + 8 + 580 + 1 + 36 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19628858013697) 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, 4881584166 + ... + 4881588186.

Almost surely, 2^{19628858013696} is an apocalyptic number.

19628858013696 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 19628858013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31186576577520).

19628858013696 is an abundant number, since it is smaller than the sum of its proper divisors (42744295141344).

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

19628858013696 is an equidigital number, since it uses as much as digits as its factorization.

19628858013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 19628858013696 in words is "nineteen trillion, six hundred twenty-eight billion, eight hundred fifty-eight million, thirteen thousand, six hundred ninety-six".