11397697600 has 189 divisors, whose sum is σ = 29983203813. Its totient is φ = 4263567360.

The previous prime is 11397697579. The next prime is 11397697603. The reversal of 11397697600 is 679679311.

The square root of 11397697600 is 106760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6378258496 + 5019439104 = 79864^2 + 70848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11397697603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72596722 + ... + 72596878.

Almost surely, 2^11397697600 is an apocalyptic number.

11397697600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11397697600 is the 106760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11397697600

11397697600 is an abundant number, since it is smaller than the sum of its proper divisors (18585506213).

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

11397697600 is an equidigital number, since it uses as much as digits as its factorization.

11397697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 49.

Multiplying 11397697600 by its sum of digits (49), we get a square (558487182400 = 747320²).

The spelling of 11397697600 in words is "eleven billion, three hundred ninety-seven million, six hundred ninety-seven thousand, six hundred".