19797750997752 has 512 divisors, whose sum is σ = 64684972800000. Its totient is φ = 5041203568128.

The previous prime is 19797750997741. The next prime is 19797750997793. The reversal of 19797750997752 is 25779905779791.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 524466543 + ... + 524504289.

It is an arithmetic number, because the mean of its divisors is an integer number (126337837500).

Almost surely, 2^{19797750997752} is an apocalyptic number.

19797750997752 is a gapful number since it is divisible by the number (12) 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 19797750997752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32342486400000).

19797750997752 is an abundant number, since it is smaller than the sum of its proper divisors (44887221802248).

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

19797750997752 is a wasteful number, since it uses less digits than its factorization.

19797750997752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37845 (or 37801 counting only the distinct ones).

The product of its (nonzero) digits is 5513536350, while the sum is 84.

The spelling of 19797750997752 in words is "nineteen trillion, seven hundred ninety-seven billion, seven hundred fifty million, nine hundred ninety-seven thousand, seven hundred fifty-two".