5435561376 has 180 divisors, whose sum is σ = 18596201778. Its totient is φ = 1552981248.

The previous prime is 5435561357. The next prime is 5435561377. The reversal of 5435561376 is 6731655345.

5435561376 is a `hidden beast` number, since 54 + 3 + 5 + 561 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3214890000 + 2220671376 = 56700^2 + 47124^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5435561377) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 105610 + ... + 148406.

Almost surely, 2^5435561376 is an apocalyptic number.

5435561376 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 5435561376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298100889).

5435561376 is an abundant number, since it is smaller than the sum of its proper divisors (13160640402).

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

5435561376 is a wasteful number, since it uses less digits than its factorization.

5435561376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42833 (or 42809 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 5435561376 is about 73726.2597450868. The cubic root of 5435561376 is about 1758.2534084727.

The spelling of 5435561376 in words is "five billion, four hundred thirty-five million, five hundred sixty-one thousand, three hundred seventy-six".