19997440101936 has 180 divisors, whose sum is σ = 62206499857320. Its totient is φ = 5991741888000.

The previous prime is 19997440101923. The next prime is 19997440102021. The reversal of 19997440101936 is 63910104479991.

19997440101936 is a `hidden beast` number, since 1 + 9 + 9 + 97 + 440 + 10 + 1 + 93 + 6 = 666.

It is a super-3 number, since 3×19997440101936³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4896990 + ... + 7998461.

It is an arithmetic number, because the mean of its divisors is an integer number (345591665874).

Almost surely, 2^{19997440101936} is an apocalyptic number.

19997440101936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19997440101936 is an abundant number, since it is smaller than the sum of its proper divisors (42209059755384).

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

19997440101936 is a wasteful number, since it uses less digits than its factorization.

19997440101936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895576 (or 12895556 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 19997440101936 in words is "nineteen trillion, nine hundred ninety-seven billion, four hundred forty million, one hundred one thousand, nine hundred thirty-six".