1997713753056 has 144 divisors (see below), whose sum is σ = 6501312889344. Its totient is φ = 570006726912.

The previous prime is 1997713752959. The next prime is 1997713753067. The reversal of 1997713753056 is 6503573177991.

1997713753056 is a `hidden beast` number, since 1 + 9 + 97 + 7 + 1 + 3 + 7 + 530 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1997713752984 and 1997713753002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831045 + ... + 2164731.

It is an arithmetic number, because the mean of its divisors is an integer number (45148006176).

Almost surely, 2^{1997713753056} is an apocalyptic number.

1997713753056 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 1997713753056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250656444672).

1997713753056 is an abundant number, since it is smaller than the sum of its proper divisors (4503599136288).

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

1997713753056 is a wasteful number, since it uses less digits than its factorization.

1997713753056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334453 (or 1334442 counting only the distinct ones).

The product of its (nonzero) digits is 37507050, while the sum is 63.

The spelling of 1997713753056 in words is "one trillion, nine hundred ninety-seven billion, seven hundred thirteen million, seven hundred fifty-three thousand, fifty-six".