5536064847600 has 600 divisors, whose sum is σ = 22780151167488. Its totient is φ = 1261301414400.

The previous prime is 5536064847571. The next prime is 5536064847631. The reversal of 5536064847600 is 67484606355.

5536064847600 is a `hidden beast` number, since 5 + 53 + 60 + 64 + 8 + 476 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×5536064847600² (a number of 26 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 70495557 + ... + 70574043.

Almost surely, 2^{5536064847600} is an apocalyptic number.

5536064847600 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 5536064847600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390075583744).

5536064847600 is an abundant number, since it is smaller than the sum of its proper divisors (17244086319888).

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

5536064847600 is a wasteful number, since it uses less digits than its factorization.

5536064847600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78835 (or 78815 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5536064847600 in words is "five trillion, five hundred thirty-six billion, sixty-four million, eight hundred forty-seven thousand, six hundred".