11297361600 has 756 divisors, whose sum is σ = 48520816344. Its totient is φ = 2577899520.

The previous prime is 11297361547. The next prime is 11297361617. The reversal of 11297361600 is 616379211.

11297361600 is a `hidden beast` number, since 1 + 1 + 297 + 361 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19050904 + ... + 19051496.

It is an arithmetic number, because the mean of its divisors is an integer number (64180974).

Almost surely, 2^11297361600 is an apocalyptic number.

11297361600 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 11297361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24260408172).

11297361600 is an abundant number, since it is smaller than the sum of its proper divisors (37223454744).

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

11297361600 is an equidigital number, since it uses as much as digits as its factorization.

11297361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 11297361600 in words is "eleven billion, two hundred ninety-seven million, three hundred sixty-one thousand, six hundred".