5466303553536 has 1120 divisors, whose sum is σ = 19502449021440. Its totient is φ = 1498916192256.

The previous prime is 5466303553481. The next prime is 5466303553567. The reversal of 5466303553536 is 6353553036645.

5466303553536 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 30 + 3 + 553 + 53 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32732356525 + ... + 32732356691.

It is an arithmetic number, because the mean of its divisors is an integer number (17412900912).

Almost surely, 2^{5466303553536} is an apocalyptic number.

5466303553536 is a gapful number since it is divisible by the number (56) 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 5466303553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9751224510720).

5466303553536 is an abundant number, since it is smaller than the sum of its proper divisors (14036145467904).

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

5466303553536 is an frugal number, since it uses more digits than its factorization.

5466303553536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 54.

The spelling of 5466303553536 in words is "five trillion, four hundred sixty-six billion, three hundred three million, five hundred fifty-three thousand, five hundred thirty-six".