11299281960960 has 1512 divisors, whose sum is σ = 47514764331216. Its totient is φ = 2568423997440.

The previous prime is 11299281960881. The next prime is 11299281961031. The reversal of 11299281960960 is 6906918299211.

11299281960960 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 2 + 8 + 19 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62426972070 + ... + 62426972250.

Almost surely, 2^{11299281960960} is an apocalyptic number.

11299281960960 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 11299281960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757382165608).

11299281960960 is an abundant number, since it is smaller than the sum of its proper divisors (36215482370256).

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

11299281960960 is an frugal number, since it uses more digits than its factorization.

11299281960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 11299281960960 in words is "eleven trillion, two hundred ninety-nine billion, two hundred eighty-one million, nine hundred sixty thousand, nine hundred sixty".