11200291504640 has 480 divisors, whose sum is σ = 32875841775744. Its totient is φ = 3583552389120.

The previous prime is 11200291504639. The next prime is 11200291504687. The reversal of 11200291504640 is 4640519200211.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11200291504640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433418120 + ... + 433443960.

Almost surely, 2^{11200291504640} is an apocalyptic number.

11200291504640 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 11200291504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437920887872).

11200291504640 is an abundant number, since it is smaller than the sum of its proper divisors (21675550271104).

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

11200291504640 is an equidigital number, since it uses as much as digits as its factorization.

11200291504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25976 (or 25941 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 11200291504640 in words is "eleven trillion, two hundred billion, two hundred ninety-one million, five hundred four thousand, six hundred forty".