1097950233600 has 1188 divisors, whose sum is σ = 4544368985520. Its totient is φ = 250490880000.

The previous prime is 1097950233557. The next prime is 1097950233613. The reversal of 1097950233600 is 63320597901.

1097950233600 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 9 + 5 + 0 + 2 + 33 + 600 = 666.

It is a super-3 number, since 3×1097950233600³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 7271193525 + ... + 7271193675.

Almost surely, 2^{1097950233600} is an apocalyptic number.

1097950233600 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 1097950233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272184492760).

1097950233600 is an abundant number, since it is smaller than the sum of its proper divisors (3446418751920).

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

1097950233600 is a wasteful number, since it uses less digits than its factorization.

1097950233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 1097950233600 in words is "one trillion, ninety-seven billion, nine hundred fifty million, two hundred thirty-three thousand, six hundred".