19920540736512 has 704 divisors, whose sum is σ = 68509035302400. Its totient is φ = 5665088471040.

The previous prime is 19920540736511. The next prime is 19920540736513. The reversal of 19920540736512 is 21563704502991.

19920540736512 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 0 + 54 + 0 + 73 + 6 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (19920540736511) and next prime (19920540736513).

It is a super-2 number, since 2×19920540736512² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19920540736511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279955723 + ... + 280026869.

It is an arithmetic number, because the mean of its divisors is an integer number (97313970600).

Almost surely, 2^{19920540736512} is an apocalyptic number.

19920540736512 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 19920540736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34254517651200).

19920540736512 is an abundant number, since it is smaller than the sum of its proper divisors (48588494565888).

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

19920540736512 is a wasteful number, since it uses less digits than its factorization.

19920540736512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71249 (or 71225 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 19920540736512 in words is "nineteen trillion, nine hundred twenty billion, five hundred forty million, seven hundred thirty-six thousand, five hundred twelve".