1097942957568 has 280 divisors, whose sum is σ = 3306542760576. Its totient is φ = 364041216000.

The previous prime is 1097942957561. The next prime is 1097942957621. The reversal of 1097942957568 is 8657592497901.

1097942957568 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 9 + 4 + 2 + 9 + 57 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1097942957496 and 1097942957505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097942957561) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 71282668 + ... + 71298068.

Almost surely, 2^{1097942957568} is an apocalyptic number.

1097942957568 is a gapful number since it is divisible by the number (18) 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 1097942957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653271380288).

1097942957568 is an abundant number, since it is smaller than the sum of its proper divisors (2208599803008).

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

1097942957568 is an frugal number, since it uses more digits than its factorization.

1097942957568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15628 (or 15597 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 1097942957568 in words is "one trillion, ninety-seven billion, nine hundred forty-two million, nine hundred fifty-seven thousand, five hundred sixty-eight".