11145699801600 has 1440 divisors, whose sum is σ = 46202749870464. Its totient is φ = 2318716108800.

The previous prime is 11145699801499. The next prime is 11145699801629. The reversal of 11145699801600 is 610899654111.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3316183920 + ... + 3316187280.

Almost surely, 2^{11145699801600} is an apocalyptic number.

11145699801600 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 11145699801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23101374935232).

11145699801600 is an abundant number, since it is smaller than the sum of its proper divisors (35057050068864).

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

11145699801600 is a wasteful number, since it uses less digits than its factorization.

11145699801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The spelling of 11145699801600 in words is "eleven trillion, one hundred forty-five billion, six hundred ninety-nine million, eight hundred one thousand, six hundred".