5327577360000 has 1600 divisors, whose sum is σ = 22993499474880. Its totient is φ = 1198872576000.

The previous prime is 5327577359981. The next prime is 5327577360109. The reversal of 5327577360000 is 637757235.

5327577360000 is a `hidden beast` number, since 5 + 32 + 7 + 5 + 7 + 7 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 3039119124 + ... + 3039120876.

Almost surely, 2^{5327577360000} is an apocalyptic number.

5327577360000 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 5327577360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496749737440).

5327577360000 is an abundant number, since it is smaller than the sum of its proper divisors (17665922114880).

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

5327577360000 is an equidigital number, since it uses as much as digits as its factorization.

5327577360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 5327577360000 in words is "five trillion, three hundred twenty-seven billion, five hundred seventy-seven million, three hundred sixty thousand".