5513283921600 has 3024 divisors, whose sum is σ = 25813074295008. Its totient is φ = 1147095613440.

The previous prime is 5513283921533. The next prime is 5513283921637. The reversal of 5513283921600 is 61293823155.

5513283921600 is a `hidden beast` number, since 5 + 5 + 1 + 3 + 2 + 8 + 39 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 27986212702 + ... + 27986212898.

It is an arithmetic number, because the mean of its divisors is an integer number (8536069542).

Almost surely, 2^{5513283921600} is an apocalyptic number.

5513283921600 is a gapful number since it is divisible by the number (50) 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 5513283921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906537147504).

5513283921600 is an abundant number, since it is smaller than the sum of its proper divisors (20299790373408).

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

5513283921600 is a wasteful number, since it uses less digits than its factorization.

5513283921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 5513283921600 in words is "five trillion, five hundred thirteen billion, two hundred eighty-three million, nine hundred twenty-one thousand, six hundred".