19900711369728 has 440 divisors, whose sum is σ = 68367128484864. Its totient is φ = 5648237568000.

The previous prime is 19900711369727. The next prime is 19900711369733. The reversal of 19900711369728 is 82796311700991.

19900711369728 is a `hidden beast` number, since 199 + 0 + 0 + 7 + 11 + 369 + 72 + 8 = 666.

It is a super-3 number, since 3×19900711369728³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19900711369727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87558313 + ... + 87785303.

Almost surely, 2^{19900711369728} is an apocalyptic number.

19900711369728 is a gapful number since it is divisible by the number (18) 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 19900711369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34183564242432).

19900711369728 is an abundant number, since it is smaller than the sum of its proper divisors (48466417115136).

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

19900711369728 is a wasteful number, since it uses less digits than its factorization.

19900711369728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227181 (or 227154 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 19900711369728 in words is "nineteen trillion, nine hundred billion, seven hundred eleven million, three hundred sixty-nine thousand, seven hundred twenty-eight".