1097724700800 has 1344 divisors, whose sum is σ = 5004936538560. Its totient is φ = 231563059200.

The previous prime is 1097724700747. The next prime is 1097724700823. The reversal of 1097724700800 is 80074277901.

It is a happy number.

1097724700800 is a `hidden beast` number, since 10 + 97 + 7 + 2 + 470 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 212282215 + ... + 212287385.

It is an arithmetic number, because the mean of its divisors is an integer number (3723911115).

Almost surely, 2^{1097724700800} is an apocalyptic number.

1097724700800 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 1097724700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502468269280).

1097724700800 is an abundant number, since it is smaller than the sum of its proper divisors (3907211837760).

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

1097724700800 is an equidigital number, since it uses as much as digits as its factorization.

1097724700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 1097724700800 in words is "one trillion, ninety-seven billion, seven hundred twenty-four million, seven hundred thousand, eight hundred".