11398896535200 has 576 divisors, whose sum is σ = 39716442484992. Its totient is φ = 2829621657600.

The previous prime is 11398896535123. The next prime is 11398896535211. The reversal of 11398896535200 is 253569889311.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 5719465404 + ... + 5719467396.

It is an arithmetic number, because the mean of its divisors is an integer number (68952157092).

Almost surely, 2^{11398896535200} is an apocalyptic number.

11398896535200 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 11398896535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19858221242496).

11398896535200 is an abundant number, since it is smaller than the sum of its proper divisors (28317545949792).

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

11398896535200 is a wasteful number, since it uses less digits than its factorization.

11398896535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 11398896535200 in words is "eleven trillion, three hundred ninety-eight billion, eight hundred ninety-six million, five hundred thirty-five thousand, two hundred".