5610581376 has 128 divisors (see below), whose sum is σ = 15428797440. Its totient is φ = 1804584960.

The previous prime is 5610581357. The next prime is 5610581381. The reversal of 5610581376 is 6731850165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7653906 + ... + 7654638.

It is an arithmetic number, because the mean of its divisors is an integer number (120537480).

Almost surely, 2^5610581376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5610581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714398720).

5610581376 is an abundant number, since it is smaller than the sum of its proper divisors (9818216064).

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

5610581376 is a wasteful number, since it uses less digits than its factorization.

5610581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 5610581376 is about 74903.8141618970. The cubic root of 5610581376 is about 1776.9257814329.

It can be divided in two parts, 5610 and 581376, that added together give a triangular number (586986 = T₁₀₈₃).

The spelling of 5610581376 in words is "five billion, six hundred ten million, five hundred eighty-one thousand, three hundred seventy-six".