11304057663360 has 2304 divisors, whose sum is σ = 51260921712000. Its totient is φ = 2244026695680.

The previous prime is 11304057663317. The next prime is 11304057663373. The reversal of 11304057663360 is 6336675040311.

11304057663360 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 0 + 5 + 7 + 6 + 633 + 6 + 0 = 666.

It is a super-3 number, since 3×11304057663360³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15421633554 + ... + 15421634286.

Almost surely, 2^{11304057663360} is an apocalyptic number.

11304057663360 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 11304057663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25630460856000).

11304057663360 is an abundant number, since it is smaller than the sum of its proper divisors (39956864048640).

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

11304057663360 is a wasteful number, since it uses less digits than its factorization.

11304057663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 11304057663360 in words is "eleven trillion, three hundred four billion, fifty-seven million, six hundred sixty-three thousand, three hundred sixty".