1997153842560 has 256 divisors, whose sum is σ = 6630080947200. Its totient is φ = 510880849920.

The previous prime is 1997153842507. The next prime is 1997153842637. The reversal of 1997153842560 is 652483517991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1997153842494 and 1997153842503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4845861 + ... + 5241819.

It is an arithmetic number, because the mean of its divisors is an integer number (25898753700).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1997153842560 = 3994307685120, but 3⋅1997153842560 = 5991461527680 is not.

Almost surely, 2^{1997153842560} is an apocalyptic number.

1997153842560 is a gapful number since it is divisible by the number (10) 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 1997153842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315040473600).

1997153842560 is an abundant number, since it is smaller than the sum of its proper divisors (4632927104640).

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

1997153842560 is a wasteful number, since it uses less digits than its factorization.

1997153842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396089 (or 396077 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 1997153842560 in words is "one trillion, nine hundred ninety-seven billion, one hundred fifty-three million, eight hundred forty-two thousand, five hundred sixty".