5035565376000 has 960 divisors, whose sum is σ = 19477222592256. Its totient is φ = 1245855744000.

The previous prime is 5035565375927. The next prime is 5035565376011. The reversal of 5035565376000 is 6735655305.

It is a happy number.

5035565376000 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 5 + 6 + 5 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 695228379 + ... + 695235621.

Almost surely, 2^{5035565376000} is an apocalyptic number.

5035565376000 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 5035565376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738611296128).

5035565376000 is an abundant number, since it is smaller than the sum of its proper divisors (14441657216256).

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

5035565376000 is a wasteful number, since it uses less digits than its factorization.

5035565376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 45.

The spelling of 5035565376000 in words is "five trillion, thirty-five billion, five hundred sixty-five million, three hundred seventy-six thousand".