11483315553600 has 2016 divisors, whose sum is σ = 47495345639040. Its totient is φ = 2605424640000.

The previous prime is 11483315553557. The next prime is 11483315553607. The reversal of 11483315553600 is 635551338411.

11483315553600 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 3 + 31 + 5 + 5 + 5 + 3 + 600 = 666.

It is a super-2 number, since 2×11483315553600² (a number of 27 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (11483315553607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24589540567 + ... + 24589541033.

Almost surely, 2^{11483315553600} is an apocalyptic number.

11483315553600 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 11483315553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23747672819520).

11483315553600 is an abundant number, since it is smaller than the sum of its proper divisors (36012030085440).

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

11483315553600 is a wasteful number, since it uses less digits than its factorization.

11483315553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 11483315553600 in words is "eleven trillion, four hundred eighty-three billion, three hundred fifteen million, five hundred fifty-three thousand, six hundred".